chapter 01 - straight lines and linear functions · web view53. will barclay wishes to determine...

Full file at https://testbanku.eu/Test Bank for Finite Mathematics for the Managerial Life and Social Sciences 12th Edition by TanComplete downloadable file at:

https://testbanku.eu/Test-Bank-for-Finite-Mathematics-for-the-Managerial-Life-and-Social-Sciences-12th-Edition-by-Tan

a. (7, 5); Quadrant III b. (- 7, - 5); Quadrant IV c. (7, 5); Quadrant I d. (- 7, 5); Quadrant IIANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 7/31/2014 2:37 PM

2. Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

a. (- 5, - 3); Quadrant IV b. (5, 3); Quadrant III c. (5, 3); Quadrant I d. (- 5, 3); Quadrant IIANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:45 AMDATE MODIFIED: 12/10/2013 3:54 AM

Copyright Cengage Learning. Powered by Cognero.

https://testbanku.eu/Test-Bank-for-Finite-Mathematics-for-the-Managerial-Life-and-Social-Sciences-12th-Edition-by-Tan

Full file at https://testbanku.eu/3. Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

a. (5, 5); Quadrant III b. (- 5, 5); Quadrant II c. (5, 5); Quadrant I d. (- 5, - 5); Quadrant IVANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:47 AMDATE MODIFIED: 12/10/2013 3:56 AM



a. (- 3, 7); Quadrant II b. (3, 7); Quadrant I c. (- 3, - 7); Quadrant IV d. (- 3, - 7); Quadrant IIIANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 10:06 AM



a. (- 5, 3); Quadrant II b. (- 5, - 3); Quadrant IV c. (5, 3); Quadrant I d. (- 5, - 3); Quadrant IIIANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:57 AMDATE MODIFIED: 12/10/2013 4:03 AM



a. (- 7, - 7); Quadrant IV b. (- 7, 7); Quadrant II c. (7, 7); Quadrant I d. (- 7, - 7); Quadrant IIIANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:57 AMDATE MODIFIED: 12/10/2013 4:04 AM



a. (4, 3); Quadrant I b. ( 4, 3); Quadrant II c. ( 4, 0); Quadrant II d. ( 4, 3); Quadrant

III e. (4, 3); Quadrant IVANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM



a. (1, 2); Quadrant I b. ( 1, 2); Quadrant II c. ( 1, 0); Quadrant II d. ( 1, 2); Quadrant

III e. (1, 2); Quadrant IVANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:07 AMDATE MODIFIED: 12/10/2013 4:18 AM



a. ( 1, 4); Quadrant

III b. ( 1, 4); Quadrant II c. ( 1, 0); Quadrant II d. (1, 4); Quadrant IV e. (1, 4); Quadrant IANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:08 AMDATE MODIFIED: 12/10/2013 4:21 AM




III b. (4, 3); Quadrant I c. (4, 3); Quadrant IV d. ( 4, 0); Quadrant II e. ( 4, 3); Quadrant IIANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM




III b. (1, 2); Quadrant I c. (1, 2); Quadrant IV d. ( 1, 0); Quadrant II e. ( 1, 2); Quadrant IIANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:23 AMDATE MODIFIED: 12/10/2013 4:31 AM




III b. (1, 1); Quadrant I c. (1, 1); Quadrant IV d. ( 1, 0); Quadrant II e. ( 1, 1); Quadrant IIANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:23 AMDATE MODIFIED: 12/10/2013 4:35 AM


Full file at https://testbanku.eu/13. Which point has coordinates ( 3, 3)?

a. A b. C c. BANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:36 AMDATE MODIFIED: 12/10/2013 4:43 AM

14. Which point has coordinates ( 3, - 5)?

a. A b. B c. CANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 4:45 AM


Full file at https://testbanku.eu/15. Which point has coordinates (- 2, 2)?

a. C b. B c. AANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:36 AMDATE MODIFIED: 12/10/2013 4:48 AM

16. What are the coordinates of point B?

a. (- 5, 4) b. (- 5, - 3) c. (4, 1)ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 4:58 AM


Full file at https://testbanku.eu/17. What are the coordinates of point А?

a. (2, 1) b. (- 5, - 2) c. (- 2, 4)ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:49 AMDATE MODIFIED: 12/10/2013 7:32 AM

18. What are the coordinates of point С?

a. (- 4, - 4) b. (- 3, 5) c. (4, 2)ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:49 AMDATE MODIFIED: 12/10/2013 7:32 AM


Full file at https://testbanku.eu/19. Which point has a negative x-coordinate and a negative y-coordinate?

a. B b. C c. AANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 5:07 AM

20. Which point has a negative x-coordinate and a negative y-coordinate?



Full file at https://testbanku.eu/22. Sketch a set of coordinate axes and plot the given point.

(-4, 3) a. b.

c. d.

ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 5:31 AM



(-1, 4) a. b.

c. d.




(-5, 5) a. b.

c. d.




(5, 5) a. b.

c. d.

ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 5:42 AM



(1, 2) a. b.

c. d.




(4, 2) a. b.

c. d.




a. b.

c. d.




(4.5, -4.5) a. b.

c. d.




(2.5, -2.5) a. b.

c. d.




(1.5, -1.5) a. b.

c. d.



Full file at https://testbanku.eu/34. Sketch a set of coordinate axes and plot the given point. (7, -10)

a. b.

c. d.

e.

ANSWER: bPOINTS: 1Copyright Cengage Learning. Powered by Cognero.

Full file at https://testbanku.eu/QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/12/2013 8:28 AM



a. b.

c. d.

e.

ANSWER: bPOINTS: 1Copyright Cengage Learning. Powered by Cognero.


a. b.

c. d.

e.

ANSWER: cPOINTS: 1Copyright Cengage Learning. Powered by Cognero.


a. b.

c. d.

e.

ANSWER: aPOINTS: 1QUESTION TYPE: Multiple Choice


Full file at https://testbanku.eu/HAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM



a. b.

c. d.

e.



Full file at https://testbanku.eu/HAS VARIABLES: FalseDATE CREATED: 12/10/2013 8:22 AMDATE MODIFIED: 12/10/2013 8:55 AM



a. b.

c. d.

e.




40. Find the distance between the given points.

(2, 3) and (5, 7) a. 4 b. 5 c. 3 d. 7ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


(2, 1) and (6, 4) a. 5 b. 7 c. 3 d. 6ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/42. Find the distance between the given points.

(- 3, 1) and (9, 6) a. 17 b. 13 c. 7 d. 10ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM

43. Find the coordinates of the points that are units away from the origin and have an x-coordinate equal to .

a. b. c. d. e. ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 4/24/2014 1:34 AM

44. Find an equation of the circle that satisfies the given conditions.

Radius 6 and center (3, - 5) a.

b.

c.

d.

ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/45. Find an equation of the circle that satisfies the given conditions.

Radius 9 and center at the origin. a.

b.

c.

d.

ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Radius 3 and center ( 7, 8) a.

b.

c.

d.

e.

ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/47. Find an equation of the circle that satisfies the given conditions.

Center at the origin and passes through (5, 1) a.

b.

c.

d.

e.

ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM

48. Find an equation of the circle that satisfies the conditions.

Center and radius 2 a.

b.

c.

d.

e.



Full file at https://testbanku.eu/49. Find an equation of the circle that satisfies the conditions.

Center and passes through a.

b.

c.

d.

e.



Full file at https://testbanku.eu/50. Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour.

a. 7,000 miles b. 6,500 miles c. 1,700 miles d. 6,000 miles e. 5,000 milesANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM

51. Delivery Charges. A furniture store offers free setup and delivery services to all points within a 24-mi radius of its warehouse distribution center. If you live 20 mi east and 12 mi south of the warehouse, will you incur a delivery charge? a. no b. yesANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/52. Minimizing Shipping Costs. Towns A, B, C, and D are located as shown in the figure. Two highways link town A to town D. Route 1 runs from town A to town D via town B, and Route 2 runs from town A to town D via town C. Suppose a fleet of 100 automobiles are to be shipped from an assembly plant in town A to town D. They may be shipped either by freight train along Route 1 at a cost of 20¢/mile/automobile or by truck along Route 2 at a cost of 18¢/mile/automobile. Which means of transportation minimizes the shipping cost?

a. by truck along Route 2 b. both means cost the same c. by train along Route 1ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/53. Will Barclay wishes to determine which antenna he should purchase for his home. The TV store has supplied him with the following information:

Will wishes to receive Channel 17 (VHF), which is located 26 miles east and 36 mile north of his home, and Channel 38 (UHF), which is located 25 miles south and 29 miles west of his home. Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Will’s home and both broadcasting stations is flat.) a. C b. A c. B d. DANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/54. Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

The circle with equation lies inside the circle with equation , provided . a

. It is true.

Radius of the circle with equation is . Radius of the circle with equation is a. Let

k > 1, so . Then the circle with equation lies inside the circle with equation , provided k > 1

b. It is false.Radius of the circle with equation

is . Radius of the circle with equation is a. Let k > 1, so . Then the circle with equation does not lie inside the circle with equation ,provided k > 1

ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 2/28/2014 7:43 AM


(1, 3) and (5, 6)ANSWER: 5POINTS: 1QUESTION TYPE: Numeric ResponseHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


(1, 1) and (5, 4)ANSWER: 5

POINTS: 1QUESTION TYPE: Numeric ResponseHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/57. Find the distance between the given points.

(- 1, 3) and (4, 15)ANSWER: 13


58. Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour.

__________ milesANSWER: 4,400

POINTS: 1QUESTION TYPE: Numeric ResponseHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Full file at https://testbanku.eu/59. Refer to the accompanying figure and determine the coordinates of the given point.

Coordinates: __________

Determine the quadrant in which it is located: __________ANSWER: (7, 3); Quadrant IPOINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 4/24/2014 3:16 AM

60. Refer to the accompanying figure and determine the coordinates of the given point.







62. Refer to the accompanying figure and determine the coordinates of the given point.


Determine the quadrant in which it is located: __________ANSWER:

(-5, -5); Quadrant IIIPOINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 9:57 AMDATE MODIFIED: 4/24/2014 3:26 AM





(-7, -5); Quadrant IIIPOINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 9:57 AMDATE MODIFIED: 4/24/2014 3:32 AM





(-3, -3); Quadrant III

POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 4/24/2014 3:35 AM


Radius 7 and center (5, - 4)ANSWER:

POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM


Radius 2 and center at the origin.ANSWER:



Full file at https://testbanku.eu/67. Minimizing Shipping Costs. Towns A, B, C, and D are located as shown in the figure. Two highways link town A to town D. Route 1 runs from town A to town D via town B, and Route 2 runs from town A to town D via town C. Suppose a fleet of 100 automobiles are to be shipped from an assembly plant in town A to town D. They may be shipped either by freight train along Route 1 at a cost of 20¢/mile/automobile or by truck along Route 2 at a cost of 18¢/mile/automobile.

Which means of transportation minimizes the shipping cost?

__________

What are the net savings?

$__________ANSWER: none; 0POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 4/24/2014 3:52 AM



ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/12/2013 8:43 AM

69. Which point has a negative x-coordinate and a negative y-coordinate?





71. Which point has coordinates (-5, 4)?



Full file at https://testbanku.eu/72. Which point has coordinates (-2, 2)?


73. Which point has coordinates (4, 4)?

ANSWER: APOINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 10:14 AMDATE MODIFIED: 4/24/2014 4:02 AM


Full file at https://testbanku.eu/74. What are the coordinates of point A?


75. What are the coordinates of point B?



Full file at https://testbanku.eu/76. What are the coordinates of point C?


77. Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to -3.ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM

78. Find an equation of the circle that satisfies the conditions.

Center and passes through

ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 2/28/2014 7:46 AM


Full file at https://testbanku.eu/79. Will Barclay wishes to determine which antenna he should purchase for his home. The TV store has supplied him with the following information:

Will wishes to receive Channel 17 (VHF), which is located 29 miles east and 33 miles north of his home, and Channel 38 (UHF), which is located 25 miles south and 34 miles west of his home. Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Will’s home and both broadcasting stations is flat.)ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM

80. Delivery Charges. A furniture store offers free setup and delivery services to all points within a 25-mi radius of its warehouse distribution center. If you live 21 mi east and 12 mi south of the warehouse, will you incur a delivery charge? Justify your answer.ANSWER: No, I will not. The distance between my house and the warehouse

is

mi, which is less then 25-mi radius.POINTS: 1QUESTION TYPE: EssayHAS VARIABLES: TrueDATE CREATED: 12/10/2013 3:32 AMDATE MODIFIED: 12/10/2013 3:32 AM



If the distance between the points and is D, then the distance between the points and is given by kD.

ANSWER: As we know, the distance d between two points and in the plane is given by

Let and .Using formula, we have .Let and . Using formula, we have but if we suppose the distance is kD, we get then distance between and is . It is false.

POINTS: 1QUESTION TYPE:

Essay

HAS VARIABLES:

False

DATE CREATED:

12/10/2013 3:32 AM

DATE MODIFIED:

2/28/2014 7:49 AM


Full file at https://testbanku.eu/82. Metro Department Store's annual sales (in millions of dollars) during 5 years were

Annual Sales, y 5.8 6.1 7.2 8.3 9Year, x 1 2 3 4 5

Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L. a.

b.

c.




The point (1, k) lies on the line with equation 9x + 4y = 36 if and only if . a. True. If we substitute 1 instead of x and k instead of y and solve the equation for k, we will find that k is equal

to . b. False. If we substitute 1 instead of x and k instead of y and solve the equation for k, we won't find that k is

equal to .ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

84. Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

The lines with equation and , where and , are perpendicular to each other. a.

False. The slopes of the lines are and respectively; , , so .

b. True. The slopes of the lines are and respectively; , , so .



Full file at https://testbanku.eu/85. Find the slope of the line shown in the figure.

a. b. c. d. ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM



a.

b. c. d.

e. Not definedANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/12/2013 2:11 AM



a. b. c.

d.

e. Not definedANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/12/2013 2:12 AM

88. Find the slope of the line that passes through the given pair of points.

( 1, 2) and (4, 6) a.

b.

c.

d.



Full file at https://testbanku.eu/89. Find the slope of the line that passes through the given pair of points.

(2, 4) and (8, 8) a.

– b.

– c.

d.

e.

ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

90. Find the slope of the line that passes through the pair of points.

and a.

b.

c.

d.

e.



Full file at https://testbanku.eu/91. Determine whether the lines through the given pairs of points are parallel.

A (1, - 3), B (- 1, - 5) and C (2, 2), D (- 2, 6) a. The lines through the given pairs of points are . b. The lines through the given pairs of points are .ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

92. Determine whether the lines through the pair of points are parallel.

and a. no b. yesANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

93. Determine whether the lines through the given pairs of points are perpendicular.

A (- 3, 7), B (4, 0) and C (- 2, - 2), D (3, - 4) a. The lines through the given pairs of points are

. b. The lines through the given pairs of points are .ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


Full file at https://testbanku.eu/94. If the line passing through the points (1, a) and (3, - 2) is parallel to the line passing through the points (3, 7) and (- 5, a + 6) , what is the value of a? a. a = - 3 b. a = 5 c. a = - 5 d. a = ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

95. If the line passing through the points and is parallel to the line passing through the points and , what is the value of a? a. b. c. d. e. ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

96. Find an equation of the horizontal line that passes through (–5, –6) . a. b. c. and d. e. and ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


Full file at https://testbanku.eu/97. Find an equation of the vertical line that passes through . a. b. c. d. ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

98. Match the statement with one of the graphs.

The slope of the line is negative, and its x-intercept is negative. a. b.

c.



Full file at https://testbanku.eu/99. Find an equation of the line that passes through the point (3, - 4) and has the slope m = 2. a. y - 2x = 10 b. y = 2x - 4 c. y = 2(x + 3) - 4 d. y = 2x - 10ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

100. Find an equation of the line that passes through the point (1, 6) and has the slope . a.

b.

c.

d.

e.

ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

101. Find an equation of the line that passes through the points (3, 7) and ( -6, -2) a. y = 6x + 6 b. y = x + 4 c. y = 4x - 6 d. y = 4x - 4ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


Full file at https://testbanku.eu/102. Find an equation of the line that passes through the points.

and a.

b.

c.

d.

e.


103. Find an equation of the line that has slope and y-intercept . a.

b.

c.

d.



Full file at https://testbanku.eu/104. Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line. a.

b.

c.

d.


105. Find an equation of the line passing through the origin and parallel to the line passing through the points (2,13) and (5,25). a. y = 4x + 5 b. y = 4x c. y = 3x d. y = 5x - 4ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


Full file at https://testbanku.eu/106. Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.

a. b.

c. d.




a. b.

c. d.

e.



Full file at https://testbanku.eu/108. Determine whether the points A (- 2, 2), B (3, 12), C (1, 8) lie on a straight line. a. No b. YesANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

109. A country is not building many nuclear plants, but the ones it has are running at nearly full capacity. The output (as a percent of total capacity) of nuclear plants is described by the equation

where t is measured in years, with corresponding to the beginning of 1990.

If the utilization of nuclear power continues to grow at the same rate and the total capacity of nuclear plants in the country remains constant, by what year can the plants be expected to be generating at maximum capacity? a. 2001 b. 2015 c. 2005 d. 2008 e. 2004ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


Full file at https://testbanku.eu/110. College admissions officers estimate that 65% of the students who are offered admission to the freshman class at the university will actually enroll.Find an equation that expresses the relationship between the number of students who actually enroll (y) and the number of students who are offered admission to the university (x).If the desired freshman class size for the upcoming academic year is 1,300 students, how many students should be admitted? a.

2,000 students should be admitted, if the desired freshman class size for the upcoming academic year is 1,300.

b. 2,200 students should be admitted, if the desired freshman class size for the upcoming academic year is 1,300.

c. 6,500 students should be admitted, if the desired freshman class size for the upcoming academic year is 1,300.

d. 1,846 students should be admitted, if the desired freshman class size for the upcoming academic year is 1,300.






b.

c.




The point (1, k) lies on the line with equation 5x + 4y = 20 if and only if . a. False. If we substitute 1 instead of x and k instead of y and solve the equation for k, we won't find that k is

equal to . b. True. If we substitute 1 instead of x and k instead of y and solve the equation for k, we will find that k is equal

to .ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


The lines with equation and , where and , are perpendicular to each other. a.

True. The slopes of the lines are and respectively; , , so . b.

False. The slopes of the lines are and respectively; , , so .


114. If the line passing through the points and is parallel to the line passing through the points and , what is the value of a?

__________ANSWER: 40




ANSWER:


116. Find the slope of the line that passes through the given pair of points.

(- 1, 5) and (7, 8)ANSWER:


117. Find the slope of the line that passes through the pair of points.

and ANSWER:



Full file at https://testbanku.eu/118. Determine whether the lines through the given pairs of points are parallel. Answer yes or no.


119. Determine whether the lines through the given pairs of points are perpendicular. Answer yes or no.


120. If the line passing through the points (4, a) and (6, - 1) is parallel to the line passing through the points (–3, 1) and (- 1, a + 6), what is the value of a?ANSWER: a= –3POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 4/25/2014 8:01 AM

121. Find an equation of the vertical line that passes through .ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

122. Find an equation of the line that passes through the point (2, - 2) and has the slope m = 2.ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


Full file at https://testbanku.eu/123. Find an equation of the line that passes through the points (2, 7) and ( -7, -2)ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

124. Find an equation of the line that passes through the points.

and ANSWER:


125. Find an equation of the line that has slope and y-intercept .

Please enter your equation in slope-intercept form.ANSWER:


126. Find an equation of the line passing through the origin and parallel to the line passing through the points (1, 5) and (3, 9).ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM


Full file at https://testbanku.eu/127. College admissions officers estimate that 55% of the students who are offered admission to the freshman class at the university will actually enroll.Find an equation that expresses the relationship between the number of students who actually enroll (y) and the number of students who are offered admission to the university (x).If the desired freshman class size for the upcoming academic year is 1,650 students, how many students should be admitted?

Equation: y = __________

Number of students: __________ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

128. Determine whether the lines through the pair of points are parallel. Answer yes or no.

and ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

129. Determine whether the points A (- 2, 5), B (1, 11), C (3, 15) lie on a straight line. Answer yes or no.ANSWER: yesPOINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM



The point (1, k) lies on the line with equation 3x + 2y = 6 if and only if .ANSWER: True. If we substitute 1 instead of x and k instead of y and solve the equation for k, we will find that k

is equal to .POINTS: 1QUESTION TYPE:

Essay

HAS VARIABLES:

True

DATE CREATED:

12/10/2013 4:47 AM

DATE MODIFIED:

12/10/2013 4:47 AM


The lines with equation and , where and , are perpendicular to each other.ANSWER:

True. The slopes of the lines are and respectively; , , so .

POINTS: 1QUESTION TYPE: EssayHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 2/28/2014 7:57 AM


The point (1, k) lies on the line with equation 3x + 8y = 24 if and only if .ANSWER: True. If we substitute 1 instead of x and k instead of y and solve the equation for k, we will find, that k

is equal to .POINTS: 1QUESTION TYPE:

Essay

HAS VARIABLES:

True

DATE CREATED:

12/10/2013 4:47 AM

DATE MODIFIED:

12/10/2013 4:47 AM



The lines with equation and , where and , are perpendicular to each other.ANSWER:

True. The slopes of the lines are and respectively; , , so .

POINTS: 1QUESTION TYPE: EssayHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 2/28/2014 7:58 AM

Match each graph below with the letter of the corresponding slope description. a. The slope of the line is undefined.b. The slope of the line is positive, and its y-intercept is positive.c. The slope of the line is negative, and its x-intercept is

positive.QUESTION TYPE: MatchingHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:47 AMDATE MODIFIED: 12/10/2013 4:47 AM

134. ANSWER: cPOINTS: 1

135. ANSWER: bPOINTS: 1


Full file at https://testbanku.eu/

136. ANSWER: aPOINTS: 1

137. Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.

a. b.

c. d.

ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/11/2013 11:30 PMDATE MODIFIED: 4/25/2014 8:41 AM



a. b.

c. d.

ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/11/2013 11:29 PMDATE MODIFIED: 4/25/2014 8:46 AM


Full file at https://testbanku.eu/139. Match the statement with one of the graphs.

The slope of the line is negative, and its x-intercept is negative.

a. b.

c.

ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/11/2013 11:12 PMDATE MODIFIED: 4/28/2014 1:26 AM



a. b. c. d. ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/11/2013 6:19 AMDATE MODIFIED: 12/12/2013 12:02 AM



a. b. c. d. ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/11/2013 6:06 AMDATE MODIFIED: 12/12/2013 12:02 AM





b.

c.




Annual Sales, y 5.8 6.2 7.2 8.5 9Year, x 1 2 3 4 5Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L. a.

b.

c.

ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceCopyright Cengage Learning. Powered by Cognero.


144. Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.

a. b.

c. d.

e.




a. b.

c. d.

e.






b.

c.





Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L. a. b.

c.

ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/12/2013 1:00 AMDATE MODIFIED: 4/28/2014 3:08 AM


Full file at https://testbanku.eu/Match each graph below with the letter of the corresponding slope description. a. The slope of the line is zero.b. The slope of the line is negative, and its y-intercept is negative.c. The slope of the line is positive, and its x-intercept is positive.QUESTION TYPE: MatchingHAS VARIABLES: FalseDATE CREATED: 12/12/2013 1:41 AMDATE MODIFIED: 12/12/2013 1:58 AM





Full file at https://testbanku.eu/Match each graph below with the letter of the corresponding slope description. a. The slope of the line is undefined.b. The slope of the line is positive, and its y-intercept is negative.c. The slope of the line is negative, and its x-intercept is negative.QUESTION TYPE: MatchingHAS VARIABLES: FalseDATE CREATED: 12/12/2013 1:42 AMDATE MODIFIED: 12/12/2013 2:04 AM





Full file at https://testbanku.eu/154. The relationship between temperature measured in the Celsius scale and the Fahrenheit scale is linear. The freezing point is and , and the boiling point is and , respectively. Find F as a function of C and use this formula to determine the temperature in Fahrenheit corresponding to temperature of . a. b. c. d. ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

155. Entomologists have discovered that a linear relationship exists between the number of chirps of crickets of a certain

species and the air temperature. When the temperature is , the crickets chirp at the rate of , and when the

temperature is , they chirp at the rate of . Find N as a function of T and use this formula to determine the rate at which the crickets chirp when the temperature is . a.

b.

c.

d.



Full file at https://testbanku.eu/156. For the demand equation, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, determine the quantity demanded corresponding to the unit price p = 4.

4x + 5p - 40 = 0 a. 5,000 b. 3,500 c. 4,000 d. 4,500ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

157. For the supply equation, where x represents the quantity supplied in units of 1,000 and p is the unit price in dollars, determine the number of units of the commodity the supplier will make available in the market at the given unit price. Please round your answer to the nearest unit.

3x - 5p + 30 = 0; p = 7 a. 1,567 b. 2,167 c. 1,667 d. 1,367ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM



Suppose C(x) = cx + F and R(x) = sx are the cost and revenue functions of a certain firm. Then, the firm is making a profit

if its level of production is less than . a. It is false.

Suppose C(x) = 5x + 60,000 and R(x) = 10x the cost and revenue functions of a certain firm. The firm is making a profit

P(x) = R(x) - C(x) = 10x - (5x + 60,000) = 5x - 60,000.

Setting x = 15,000, we find the profit

P(15,000) = 5(15,000) - 60,000 = 15,000.

Then, the firm is making a profit if its level of production is more than

. b. It is true.

By definition the cost function C(x), the revenue function R(x), and the profit function P(x) for the firm are given by

C(x) = cx + FR(x) = sxP(x) = R(x) - C(x)Revenue - Cost = (s - c)x - F

The inequality is always true. Then, the firm is making a profit if its level of production is

less than .



Full file at https://testbanku.eu/159. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b .

6x + 7y = 14 a.

b.

c.

d. y is not a linear function of x.ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

160. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b .

4x = 7y 5 a.

y = x + b.

y = x - c.

y = - x - d.

y = - x + e. ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM



6x 12y 3 = 0 a.

y = x + b.

c.

d.

e. ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

162. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b .

x = 4y - 8 a.

b. c.

d. ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/163. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b.

a.

b.

c. d. y is not a linear function of xANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

164. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b.

a. b.

c. d.

e. .ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM



a. b.

c.

d. y is not a linear function of xANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

166. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b.

a. b. c. d. y is not a linear function of xANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

167. A manufacturer has a monthly fixed cost of $35,000 and production cost of $4 for each unit produced. The product sells for $10/unit. Compute the profit (loss) corresponding to production level of 8,000 units. a. The profit is $14,000. b. The profit is $14,500. c. The profit is $11,000. d. The profit is $13,000.ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/168. Find the constants m and b in the linear function so that and . a. b. c. d. e. ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 2/28/2014 8:15 AM

169. Find the constants m and b in the linear function f(x) = mx + b so that f(2) = 6 and the straight line represented by f has slope - 1. a. b. c. d. ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

170. An office building worth $1 million when completed in 2000 is being depreciated linearly over 80 years. What will be the book value of the building in 2048? (Assume the scrap value is $0.) a. The book value of the building in 2048 will be

$400,000. b. The book value of the building in 2048 will be

$600,000. c. The book value of the building in 2048 will be

$200,000. d. The book value of the building in 2048 will be

$300,000.ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/171. A certain economy's consumption function is given by the equation

where is the personal consumption expenditure in billions of dollars and x is the disposable personal income in billions of dollars. Find , , and . a. b. c. d. e. ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 2/28/2014 8:16 AM

172. A server purchased at a cost of $108,000 in 2002 has a scrap value of $18,000 at the end of 5 years. Find the linear equation expressing the server's book value at the end of t years. a. b. c. d. e. ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/173. Cowling's rule is a method for calculating pediatric drug dosages. If a denotes the adult dosage (in milligrams) and if t is the child's age (in years), then the child's dosage is given by

If the adult dose of a drug is 500 mg, how much should a 4 year-old child receive? a. 100.77 milligrams b. 99.07 milligrams c. 102.47 milligrams d. 104.17 milligrams e. 105.87 milligramsANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

174. The relationship between temperature measured in the Celsius scale and the Fahrenheit scale is linear. The freezing point is and , and the boiling point is and , respectively. Find F as a function of C and use this formula to determine the temperature in Fahrenheit corresponding to temperature of . a. b. c. d. ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/175. Entomologists have discovered that a linear relationship exists between the number of chirps of crickets of a certain

species and the air temperature. When the temperature is , the crickets chirp at the rate of , and when the

temperature is , they chirp at the rate of . Find N as a function of T and use this formula to determine the rate at which the crickets chirp when the temperature is . a.

b.

c.

d.


176. For the demand equation, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, determine the quantity demanded corresponding to the unit price p = 5.

5x + 4p - 40 = 0 a. 3,000 b. 4,500 c. 4,000 d. 5,500ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/177. The quantity demanded for a certain brand of portable CD players is 200 units when the unit price is set at $90. The quantity demanded is 1,200 units when the unit price is $40. Find the demand equation. a. p = - 0.05x + 90 b. p = - 0.04x + 100 c. p = - 0.04x + 90 d. p = - 0.05x + 100ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

178. Assume that a certain commodity's demand equation has the form p = ax + b, where x is the quantity demanded and p is the unit price in dollars. Suppose the quantity demanded is 1,000 units when the unit price is $19.00 and 7,000 when the unit price is $13.00. What is the quantity demanded when the unit price is $18.50? a. 6,000 units b. 1,500 units c. 6,500 units d. 8,000 unitsANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

179. The quantity demanded for a certain brand of portable CD players is 400 units when the unit price is set at $80. The quantity demanded is 1,400 units when the unit price is $30. Find the demand equation. a. b. c. d. e. ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/180. For the supply equation, where x represents the quantity supplied in units of 1,000 and p is the unit price in dollars, determine the number of units of the commodity the supplier will make available in the market at the given unit price. Please round your answer to the nearest unit.

3x - 4p + 24 = 0; p = 8 a. 2,967 b. 2,667 c. 2,567 d. 3,167ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

181. Consider the supply equation , where x is the quantity supplied in units of 1,000 and p is the unit price in dollars. Determine the number of units of the commodity the supplier will make available in the market at the given unit price . a. 2,400 b. 2,700 c. 3,000 d. 3,300 e. 3,600ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

182. Assume that a certain commodity's demand equation has the form p = ax + b, where x is the quantity demanded and p is the unit price in dollars. Suppose the quantity demanded is 3,000 units when the unit price is $17.00 and 7,000 when the unit price is $13.00. What is the quantity demanded when the unit price is $15.50?

__________ unitsANSWER: 4,500POINTS: 1QUESTION TYPE: Numeric ResponseHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/183. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b . If not, answer non-linear.

4x + 5y = 15ANSWER:


184. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b . If not, answer non-linear.

x = 3y - 18ANSWER:



ANSWER:



ANSWER:



Full file at https://testbanku.eu/187. Determine whether the equation defines y as a linear function of x. If so, write it in the formy = mx + b . If not, answer non-linear.

ANSWER: non-linearPOINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

188. Find the constants m and b in the linear function so that and .

ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM

189. An office building worth $1 million when completed in 2000 is being depreciated linearly over 80 years.

What will be the book value of the building in 2048? (Assume the scrap value is $0.)

$ __________

What will be the book value of the building in 2072? (Assume the scrap value is $0.)

$ __________ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 12/10/2013 4:51 AM


Full file at https://testbanku.eu/190. A certain economy's consumption function is given by the equation

where is the personal consumption expenditure in billions of dollars and x is the disposable personal income in billions of dollars. Find , , and .

billion dollarsbillion dollarsbillion dollars

ANSWER: ; ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 2/28/2014 8:18 AM

191. Cowling's rule is a method for calculating pediatric drug dosages. If a denotes the adult dosage (in milligrams) and if t is the child's age (in years), then the child's dosage is given by

Is D a linear function of ? Hint: Think of as having the form .

If the adult dose of a drug is 510 mg, how much should a 4 year-old child receive? Please round the answer to two decimal places.

__________ milligramsANSWER: yes; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:51 AMDATE MODIFIED: 2/28/2014 8:19 AM


Full file at https://testbanku.eu/192. The demand equation for a certain brand of GPS Navigator is x + 5p - 425 = 0, where x is the quantity demanded per week and p is the wholesale unit price in dollars.

The supply equation is x - 17p + 1,005 = 0, where x is the quantity the supplier will make available in the market when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators. a. equilibrium quantity 100 units; equilibrium price $65 b. equilibrium quantity –10 units; equilibrium price $70 c. equilibrium quantity –10 units; equilibrium price $65 d. equilibrium quantity 100 units; equilibrium price $70ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM

193. The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $125.00. The quantity demanded each month is 1,100 when the unit price is $91.00. The suppliers will market 700 espresso makers if the unit price is $74.00 or lower. At a unit price of $109.00, they are willing to make available 2,450 units in the market. Both the demand and supply equations are known to be linear. Find the equilibrium quantity and the equilibrium price. a. equilibrium quantity 1,250 units; equilibrium price

$85.00 b. equilibrium quantity 1,250 units; equilibrium price

$90.00 c. equilibrium quantity 1,140 units; equilibrium price

$90.00 d. equilibrium quantity 1,140 units; equilibrium price

$85.00ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/194. Let and be two nonvertical straight lines in the plane with equations and , respectively. Find conditions on , , , and so that and intersect at one and only one point.

a. and

b. and

c. and

d. ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 4/28/2014 7:01 AM

195. Find the point of intersection of the pair of straight lines.

y = 3x + 8y = - 3x + 32 a. (4, 20) b. (5, 19) c. (5, 20) d. (4, 19)ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/196. Find the point of intersection of the pair of straight lines.

y = - 6x - 8- y = 7x + 14 a. (- 6, 28) b. (- 5, 27) c. (- 5, 28) d. (- 6, 27)ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


3x - 4y = 94x + 12y = 25 a.

b.

c. d.



Full file at https://testbanku.eu/198. Find the point of intersection of the pair of straight lines.

2x 8y 117x 3y –23

a.

b.

c.

d.

e.



a. (- 27, - 39) b. (- 28, - 38) c. (- 27, - 38) d. (- 28, - 39)ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/200. Find the point of intersection of the pair of straight lines. Round the answers to nearest three decimal places.

2x + 4y + 42 = 0 a. b. c. d. e. ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM

201. Find the break-even point for the firm whose cost function C and revenue function R are given.

C(x) = 5x + 10,000; R(x) = 15x a. For a break-even operation, the firm should manufacture 10,000 units of its product, resulting in a break-even

revenue of $15,000. b. For a break-even operation, the firm should manufacture 10,000 units of its product, resulting in a break-even

revenue of $7,500. c. For a break-even operation, the firm should manufacture 1,000 units of its product, resulting in a break-even

revenue of $7,500. d. For a break-even operation, the firm should manufacture 1,000 units of its product, resulting in a break-even

revenue of $15,000.ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/202. Find the break-even point for the firm whose cost function C and revenue function R are given.

C(x) = 16x + 24,000; R(x) = 24x a. For a break-even operation, the firm should manufacture 24,000 units of its product, resulting in a break-even

revenue of $720,000. b. For a break-even operation, the firm should manufacture 24,000 units of its product, resulting in a break-even

revenue of $72,000. c. For a break-even operation, the firm should manufacture 3,000 units of its product, resulting in a break-even

revenue of $72,000. d. For a break-even operation, the firm should manufacture 3,000 units of its product, resulting in a break-even

revenue of $720,000.ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


; a. b. c. d. e. ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/204. Find the break-even point for the firm whose cost function C and revenue function R are given. Round the intermidiate calculations to nearest integer.

C(x) = 180x + ; R(x) = 300x a. b. c. d. e. ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 2/28/2014 8:23 AM

205. A manufacturer of 24-hr variable timers, has a monthly fixed cost of $56,000 and a production cost of $9 for each timer manufactured. The units sell for $16 each. Find the break-even point algebraically. a. break-even production 16,000 units; break-even revenue

$1,280,000 b. break-even production 16,000 units; break-even revenue $128,000 c. break-even production 8,000 units; break-even revenue $1,280,000 d. break-even production 8,000 units; break-even revenue $128,000ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM

206. A division of a corporation produces "Personal Income Tax" diaries. Each diary sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each diary is $3. What should be the level of sales in order for the division to realize a 15% profit over the cost of making the diaries? a. The level of sales should be 5,055 units. b. The level of sales should be approximately 9,222

units. c. The level of sales should be 4,553 units. d. The level of sales should be 8,952 units.ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/207. A division of a corporation manufactures bicycle pumps. Each pump sells for $9, and the variable cost of producing each unit is 40% of the selling price. The monthly fixed costs incurred by the division are $50,000. What is the break-even point for the division? a. break-even production 1,852 units; break-even revenue $83,331 b. break-even production 1,852 units; break-even revenue

$166,662 c. break-even production 9,259 units; break-even revenue $83,331 d. break-even production 9,259 units; break-even revenue

$166,662ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM

208. A product may be made using machine I or machine II. The manufacturer estimates that the monthly fixed costs of using machine I are $18,000, whereas the monthly fixed costs of using machine II are $15,000. The variable costs of manufacturing 1 unit of the product using machine I and machine II are $10 and $20, respectively. The products sell for $50 each. What is the maximum profit if the projected sales are 650 units? a. $8,150 b. $8,000 c. $8,100 d. $8,200 e. $8,050ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/209. The annual sales of Crimson Drug Store are expected to be given by million dollars t yr from now, whereas the annual sales of Cambridge Drug Store are expected to be given by million dollars t yr from now. When will Cambridge's annual sales first surpass Crimson's annual sales? a. 8.7 yr b. 4.8 yr c. 3.5 yr d. 7.4 yr e. 6.1 yrANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM

210. For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.

5x + 2p - 69 = 0 and 5x - 4p + 33 = 0 a. equilibrium quantity 1,400 units; equilibrium price

$13 b. equilibrium quantity 7,000 units; equilibrium price

$17 c. equilibrium quantity 1,400 units; equilibrium price

$17 d. equilibrium quantity 7,000 units; equilibrium price

$13ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


Full file at https://testbanku.eu/211. For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.

2x + 9p - 93 = 0 and 3x - 14p + 108 = 0 a. equilibrium quantity 6,000 units; equilibrium price $13 b. equilibrium quantity 12,000 units; equilibrium price $9 c. equilibrium quantity 6,000 units; equilibrium price $9 d. equilibrium quantity 12,000 units; equilibrium price $13ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:52 AMDATE MODIFIED: 12/10/2013 4:52 AM


p = - 2x + 15 and p = 5x + 1 a. equilibrium quantity 4,000 units; equilibrium price $9 b. equilibrium quantity 4,000 units; equilibrium price

$11 c. equilibrium quantity 2,000 units; equilibrium price $9 d. equilibrium quantity 2,000 units; equilibrium price

$11ANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM



p = - 0.5x + 11.5 and p = 0.25x + 3.25 a. equilibrium quantity 11,000 units; equilibrium price $6 b. equilibrium quantity 110,000 units; equilibrium price $6 c. equilibrium quantity 11,000 units; equilibrium price $5 d. equilibrium quantity 110,000 units; equilibrium price $5ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM

214. The quantity demanded of a certain brand of DVD player is 3,500/wk when the unit price is $460. For each decrease in unit price of $20 below $460, the quantity demanded increases by 250 units. The suppliers will not market any DVD players if the unit price is $400 or lower. But at a unit price of $445, they are willing to make available 500 units in the market. The supply equation is also known to be linear. Find the equilibrium quantity and the equilibrium price. a. equilibrium quantity 2,000 units; equilibrium price $585 b. equilibrium quantity 400 units; equilibrium price $585 c. equilibrium quantity 2,000 units; equilibrium price $580 d. equilibrium quantity 400 units; equilibrium price $580ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM



The supply equation is x - 16p + 480 = 0, where x is the quantity the supplier will make available in the market when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators. a. equilibrium quantity 2,000 units; equilibrium price

$55 b. equilibrium quantity 400 units; equilibrium price $55 c. equilibrium quantity 2,000 units; equilibrium price

$40 d. equilibrium quantity 400 units; equilibrium price $40ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM

216. The demand equation for a certain brand of fax machine is 4x + p - 1,550 = 0, where x is the quantity demanded per week and p is the unit price in dollars.

The supply equation is 3x - 4p + 2,400 = 0, where x is the quantity the supplier will make available in the market when the unit price is p dollars. Find the equilibrium quantity and the equilibrium price for the fax machines. a. equilibrium quantity 200 units; equilibrium price

$750 b. equilibrium quantity 200 units; equilibrium price

$850 c. equilibrium quantity 90 units; equilibrium price $850 d. equilibrium quantity 90 units; equilibrium price $750ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


Full file at https://testbanku.eu/217. The quantity demanded each month of Russo Espresso Makers is 200 when the unit price is $120.00. The quantity demanded each month is 1,000 when the unit price is $80.00. The suppliers will market 850 espresso makers if the unit price is $42.00 or lower. At a unit price of $72.00, they are willing to make available 2,350 units in the market. Both the demand and supply equations are known to be linear. Find the equilibrium quantity and the equilibrium price. a. equilibrium quantity 1,500 units; equilibrium price

$55.00 b. equilibrium quantity 1,390 units; equilibrium price

$70.00 c. equilibrium quantity 1,390 units; equilibrium price

$55.00 d. equilibrium quantity 1,500 units; equilibrium price

$70.00ANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM

218. The quantity demanded of a certain brand of DVD player is 3,300/wk when the unit price is $455.00. For each decrease in unit price of $5.00 below $455.00, the quantity demanded increases by 100 units. The suppliers will not market any DVD players if the unit price is $350.00 or lower. But at a unit price of $374.00, they are willing to make available 2,400 units in the market. The supply equation is also known to be linear. Find the equilibrium quantity and price. a.

b.

c.

d.

e.



Full file at https://testbanku.eu/219. The demand equation for the Schmidt-3000 fax machine is , where x is the quantity demanded per week and p is the unit price in dollars. The supply equation is , where x is the quantity the supplier will make available in the market when the unit price is p dollars. Find the equilibrium quantity and the equilibrium price for the fax machines. a.

b.

c.

d.

e.


220. Let and be two nonvertical straight lines in the plane with equations and , respectively. Find conditions on , , and so that and intersect at infinitely many points. a. b. and

c. d. and

ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 2/28/2014 8:27 AM


Full file at https://testbanku.eu/221. Suppose the cost function associated with a product is dollars and the revenue function is , where c denotes the unit cost of production, s denotes the unit selling price, F denotes the fixed cost incurred by the firm, and x denotes the level of production and sales.

a.

b.

c.

d.

e.


222. The annual sales of Crimson Drug Store are expected to be given by million dollars t years from now, whereas the annual sales of Cambridge Drug Store are expected to be given by million dollars t yr from now. When will Cambridge's annual sales first surpass Crimson's annual sales?

Please round your answer to one decimal place if necessary.

__________ yrANSWER: 1.6




The supply equation is x - 19p + 1,210 = 0, where x is the quantity the supplier will make available in the market when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators.

equilibrium quantity: __________ units

equilibrium price: $ __________ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


y = 2x + 8y = - 2x + 20ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


y = - 4x - 9- y = 5x + 16ANSWER: POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


3x - 5y = 52x + 15y = 7ANSWER:

POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AMCopyright Cengage Learning. Powered by Cognero.





C(x) = 10x + 1,000; R(x) = 20x

For a break-even operation, the firm should manufacture __________ units of its product,

resulting in a break-even revenue of $ __________.ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


C(x) = 12x + 7,000; R(x) = 19x

For a break-even operation, the firm should manufacture __________ units of its product,

resulting in a break-even revenue of $ __________.ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


Full file at https://testbanku.eu/230. A division of a corporation produces "Personal Income Tax" diaries. Each diary sells for $4. The monthly fixed costs incurred by the division are $6,000, and the variable cost of producing each diary is $2.

Find the break-even point for the division.

break-even production __________ units;

break-even revenue $ __________.

What should be the level of sales in order for the division to realize a 15% profit over the cost of making the diaries?

__________ unitsANSWER: ; ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM

231. A division of a corporation manufactures bicycle pumps. Each pump sells for $7, and the variable cost of producing each unit is 60% of the selling price. The monthly fixed costs incurred by the division are $80,000. What is the break-even point for the division?

break-even production __________ units

break-even revenue $ __________ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


2x + 2p - 56 = 0 and 5x - 4p + 40 = 0

equilibrium quantity __________ units

equilibrium price $ __________ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM



3x + 9p - 84 = 0 and 4x - 15p + 77 = 0




p = - 3x + 29 and p = 4x + 1




p = - 0.3x + 5.9 and p = 0.15x + 0.05




Full file at https://testbanku.eu/236. The demand equation for a certain brand of GPS Navigator is x + 3p - 765 = 0, where x is the quantity demanded per week and p is the wholesale unit price in dollars. The supply equation isx - 18p + 390 = 0, where x is the quantity the supplier will make available in the market when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators.



237. The demand equation for a certain brand of fax machine is 5x + p - 2,350 = 0, where x is the quantity demanded per week and p is the unit price in dollars. The supply equation is 4x - 5p + 1,600 = 0, where x is the quantity the supplier will make available in the market when the unit price is p dollars. Find the equilibrium quantity and the equilibrium price for the fax machines.




Full file at https://testbanku.eu/238. The quantity demanded of a certain brand of DVD player is 2,200/wk when the unit price is $475. For each decrease in unit price of $28.00 below $475, the quantity demanded increases by 350 units. The suppliers will not market any DVD players if the unit price is $350 or lower. But at a unit price of $500, they are willing to make available 2,500 units in the market. The supply equation is also known to be linear.

Find the demand equation.

__________

Find the supply equation.

__________

Find the equilibrium quantity.

__________ DVD players

Find the equilibrium price.

$ __________ANSWER: ; ; ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM

239. The demand equation for the Schmidt-3000 fax machine is , where x is the quantity demanded per week and p is the unit price in dollars. The supply equation is , where x is the quantity the supplier will make available in the market when the unit price is p dollars. Find the equilibrium quantity and the equilibrium price for the fax machines.

__________

$ __________ANSWER: ; POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: TrueDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 12/10/2013 4:53 AM


Full file at https://testbanku.eu/240. Find the break-even point for the firm whose cost function C and revenue function R are given.

;


241. Let and be two nonvertical straight lines in the plane with equations and , respectively. Find conditions on , , and so that and intersect at infinitely many points.ANSWER: and POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 2/28/2014 8:39 AM

242. Let and be two nonvertical straight lines in the plane with equations and respectively. Find conditions on , , , and so that and do not intersect.ANSWER: and POINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/10/2013 4:53 AMDATE MODIFIED: 4/29/2014 3:59 AM


Full file at https://testbanku.eu/243. The Social Security (FICA) wage base (in thousands of dollars) from 1996 to 2001 is given in the accompanying table:

Year 1996 1997 1998 1999 2000 2001Wage Base, y 62.7 65.4 68.4 72.6 76.2 80.4

Find an equation of the least-squares line for these data. (Let x = 1 represent the year 1996.) Please round the coefficients in your equation to three decimal places. Use the result to estimate the FICA wage base in the year 2005. a. y = 3.587x + 58.368; $94,238 b. y = 3.574x + 58.440; $94,405 c. y = 3.574x + 58.440; $94,180 d. y = 3.587x + 58.368; $94,132ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:12 AMDATE MODIFIED: 12/11/2013 2:12 AM

244. With computer security always a hot-button issue, demand is growing for technology that authenticates and authorizes computer users. The following table gives the authentication software sales (in billions of dollars), including projections, from 1999 through 2004.

Year, x 0 1 2 3 4 5Sales, y 2.4 2.9 3.7 4.5 5.2 6.1

(Here, x = 0 represents 1999.)

Find an equation of the least-squares line for these data. Please round the coefficients in your equation to three decimal places. Use the result to estimate the sales for 2008, assuming the projection is accurate. a. y = 0.749x + 2.262; $9.003 billion b. y = 0.735x + 2.273; $8.888 billion c. y = 0.735x + 2.273; $8.925 billion d. y = 0.749x + 2.262; $9.026 billionANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:12 AMDATE MODIFIED: 12/11/2013 2:12 AM


Full file at https://testbanku.eu/245. Find the equation of the least-squares line for the given data. Draw a scatter diagram for the given data and graph the least-squares line.

x 1 2 3 4y 4 6 8 9 a. b.

c. d.




x 1 3 5 7 9y 9 7 6 3 2 a. b.

c. d.



Full file at https://testbanku.eu/247. Draw a scatter diagram for the data and graph the least-squares line. x 1 2 3 3 4 5y 3 5.5 5.5 4.5 2 2.5

a. b.

c. d.

e.




x 1 1 2 3 4 4 5y 1 2 2 3.5 3.5 4 5

Please round the coefficients in your equation to two decimal places. a. b.

c. d.



Full file at https://testbanku.eu/249. Find the equation of the least-squares line for the data.

a.

b.

c.

d.

e.




Please round the coefficients in your equation to three decimal places. a. b.

c. d.



Full file at https://testbanku.eu/251. The accompanying data were compiled by the admissions office at a certain college during the past 5 years. The data relate the number of college brochures and follow-up letters sent to a preselected list of high school juniors who had taken the PSAT and the number of completed applications received from these students (both measured in units of a thousand).

x 2 2.5 3 3.5 4y 0.6 0.9 1.0 1.3 1.4

Use the least-squares line to predict the number of completed applications expected if 4,400 brochures and follow-up letters are sent out during the next year. a. 1,650 b. 1,500 c. 1,550 d. 1,700 e. 1,600ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:12 AMDATE MODIFIED: 12/11/2013 2:12 AM


Full file at https://testbanku.eu/252. The accompanying data were compiled by the superintendent of schools in a large metropolitan area. The table shows the average SAT verbal scores of high school seniors during the 5 years since the district implemented its "back-to-basics" program.

Year, x 1 2 3 4 5Average score, y 430 432 430 426 426Determine the equation of the least-squares line for these data. a.

b.

c.

d.

e.

ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: FalseDATE CREATED: 12/11/2013 2:12 AMDATE MODIFIED: 4/29/2014 5:51 AM


Full file at https://testbanku.eu/253. The management of a manufacturing company submitted the accompanying data in its annual stockholders report. The table shows the net sales (in millions of dollars) during the 5 years that have elapsed since the new management team took over:

Year, x 1 2 3 4 5Net Sales, y 426 439 448 463 466

(The first year the firm operated under the new management corresponds to the time period x = 1, and the four subsequent years correspond to x = 2, 3, 4, and 5.)

Use the least-squares line to predict the net sales for the upcoming year. a. $479.6 million b. $483.0 million c. $477.9 million d. $484.7 million e. $481.3 millionANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:12 AMDATE MODIFIED: 12/11/2013 2:12 AM

254. The size of the average farm in the United States has been growing steadily over the years. The accompanying data, obtained from the U.S. Department of Agriculture, gives the size of the average farm y (in acres) from 1940 through 1997.

Years, x 0 10 20 30 40 57Acres, y 167 213 297 375 427 471

(Here, x = 0 corresponds to the beginning of the year 1940.)

Find the equation of the least-squares line for these data. Use the equation found to estimate the size of the average farm in the year 1982. a. y = 6.76x + 148; 13,546 acres b. y = 7.75x + 148; 474 acres c. y = 6.76x + 148; 432 acres d. y = 5.71x + 176; 415.82 acresANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:12 AMDATE MODIFIED: 12/11/2013 2:12 AM


Full file at https://testbanku.eu/255. According to the Massachusetts Department of Welfare, the spending (in billions of dollars) by Medicaid, the national health-care plan for the poor, over the 5-yr period from 1988 to 1992 is summarized in the accompanying table.

Year, x 0 1 2 3 4Expenditure, y 1.550 1.662 1.786 1.888 2.009

(Here, x = 0 represents the beginning of the year 1988.)

Find an equation of the least-squares line for these data. Please round the coefficients in your equation to three decimal places. Use the result of to estimate Medicaid spending for the year 1994, assuming the trend continued. a. y = 0.114x + 1.550; $2.262 billion b. y = 0.117x + 1.546; $2.217 billion c. y = 0.114x + 1.550; $2.234 billion d. y = 0.117x + 1.546; $2.248 billionANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM

256. The accompanying table gives the projected state subsidies (in millions of dollars) to the Massachusetts Bay Transit Authority (MBTA) over a 5-yr period.

Year, x 1 2 3 4 5Subsidy, y 20 24 26 28 32

Find an equation of the least-squares line for these data. Use the result to estimate the state subsidy to the MBTA for the sixth year (x = 6). a. y = 2.7x + 17.8;

$34,100,000 b. y = 2.8x + 17.6;

$34,600,000 c. y = 2.8x + 17.6;

$34,400,000 d. y = 2.7x + 17.8;

$34,000,000ANSWER: cPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM


Full file at https://testbanku.eu/257. The accompanying table gives the forecast for the worldwide sales (in billions of dollars) of information security through 2007 (t = 0 corresponds to 2002):

Year, t 0 1 2 3 4 5Spending, y 6.7 8.6 9.3 11.9 12.8 14.8

Find an equation of the least-squares line for these data. Use the result to estimate the spending on information security software in 2008, assuming that the trend continued. Round your answers to two decimal places. a. b. c. d. e. ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM

258. The accompanying table gives the projected online spending per buyer (in dollars) from 2002 (x = 0) through 2008 (x = 6):

Year, x 0 1 2 3 4 5 6Spending, y 503 535 585 635 681 725 779

Find an equation of the least-squares line for these data. Use the result to estimate the rate of change of spending per buyer between 2002 and 2008. Round your answers to two decimal places. a. b. c. d. e. ANSWER: ePOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM


Full file at https://testbanku.eu/259. The Social Security (FICA) wage base (in thousands of dollars) from 1996 to 2001 is given in the accompanying table:

Year 1996 1997 1998 1999 2000 2001Wage Base, y 62.7 65.4 68.4 72.6 76.2 80.4

Find an equation of the least-squares line for these data. (Let x = 1 represent the year 1996.) Please round the coefficients in your equation to three decimal places. Use the result to estimate the FICA wage base in the year 2002. a. y = 3.563x + 58.329; $83,376 b. y = 3.574x + 58.440; $83,458 c. y = 3.574x + 58.440; $83,683 d. y = 3.563x + 58.329; $83,270ANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM

260. Steel has been playing a decreasing role in the manufacture of beverage cans in the United States. According to the Can Manufacture Institute, the use of bimetallic cans has been dwindling while the use of all-aluminum cans has been growing steadily. The accompanying table gives the production (in billions) of all-aluminum cans over the period from 1975 through 1989:

Year 1975 1977 1979 1981 1983 1985 1987 1989Cans, y 16.7 26 33.3 48.3 57 65.8 74.2 83.3

Find an equation of the least-squares line for these data. (Let x = 1 represent the year 1975.) Please round the coefficients in your equation to three decimal places. Use the result to estimate the number of cans produced in 1994, assuming the trend continued. a. y = 4.834x + 11.857; 108.537 billion

cans b. y = 4.842x + 11.842; 108.659 billion

cans c. y = 4.834x + 11.857; 108.500 billion

cans d. y = 4.842x + 11.842; 108.682 billion

cansANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM


Full file at https://testbanku.eu/261. According to industry sources, online banking is expected to take off in the near future. The projected number of households (in millions) using this service is given in the following table:

Year, x 0 1 2 3 4 5Households, y 4.5 7.5 10.0 13.0 15.6 18.0

(Here, x = 0 corresponds to the beginning of 1997.)

Find an equation of the least-squares line for these data. Please round the coefficients in your equation to three decimal places. Use the result to estimate the number of households using online banking at the beginning of 2007, assuming the projection is accurate. a. y = 2.695x + 4.653; 31.603 million b. y = 2.709x + 4.662; 31.729 million c. y = 2.695x + 4.653; 31.566 million d. y = 2.709x + 4.662; 31.752 millionANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM

262. According to industry sources, online banking is expected to take off in the near future. The projected number of households (in millions) using this service is given in the following table:

Year, x 0 1 2 3 4 5Households, y 4.5 7.5 10.0 13.0 15.6 18.0(Here, x = 0 corresponds to the beginning of 1998.)

Find an equation of the least-squares line for these data. Please round the coefficients in your equation to three decimal places. Use the result to estimate the number of households using online banking at the beginning of 2007, assuming the projection is accurate. a. y = 2.709x +

4.662; 29.043 million b. y = 2.709x + 4.662; 28.813 million c. y = 12.3x + 21.06; 131.390 million d. y = 12.3x + 21.06; 131.760 millionANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 4/29/2014 6:58 AM


Full file at https://testbanku.eu/263. The Census Bureau projections of male life expectancy at age 65 in the United States are summarized in the following table.

Year, x 0 10 20 30 40 50YearsBeyond 65, y 15.7 16.7 17.6 18.6 19.1 20.2(Here, x = 0 corresponds to the beginning of 2000.)

Find the equation of the least-squares line for these data. Use the equation found to estimate the life expectancy at 65 of a male in 2030. a. y = 0.3x + 10.31; 19

years b. y = 0.09x + 16; 18 years c. y = 0.22x + 9.95; 82

years d. y = 0.3x + 10.31; 84

yearsANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 4/29/2014 7:07 AM

264. With computer security always a hot-button issue, demand is growing for technology that authenticates and authorizes computer users. The following table gives the authentication software sales (in billions of dollars), including projections, from 1999 through 2004.

Year, x 0 1 2 3 4 5Sales, y 2.4 2.9 3.7 4.5 5.2 6.1

(Here, x = 0 represents 1999.)

Find an equation of the least-squares line for these data. Please round the coefficients in your equation to three decimal places. Use the result to estimate the sales for 2005, assuming the projection is accurate. a. y = 0.749x + 2.262; $6.779 billion b. y = 0.735x + 2.273; $6.683 billion c. y = 0.735x + 2.273; $6.720 billion d. y = 0.749x + 2.262; $6.756 billionANSWER: dPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM



265. The projected number of wireless subscribers y (in millions) from 2000 through 2006 is summarized in the accompanying table:

Year, x 0 1 2 3 4 5 6Subscribers, y 90.4 100.0 110.4 120.4 130.8 140.4 150.0

(Here, x = 0 corresponds to the beginning of 2000.)

Find an equation of the least-squares line for these data. Please round the coefficients in your equation to two decimal places. Use the result to estimate the projected number of wireless subscribers at the beginning of 2007. a. y = 10x + 90.34; 160.34 million b. y = 9.97x + 90.31; 160.10 million c. y = 10x + 90.34; 160.57 million d. y = 9.97x + 90.31; 159.94 millionANSWER: aPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM



If the data consist of two distinct points, then the least-squares line is just the line that passes through the two points.

a.

It is true.Suppose that we are given two data points

If we try to fit a straight line to these data points, the line will miss the first and the second data points by the amounts d1, d2, respectively.

The principle of least squares states that the straight line L that fits the data points best is the one chosen by requiring that the sum of the squares

be made as small as possible. In this case the smallest sum is zero., when and .

Therefore, the required least-squares line is just the line that passes through the two points.


Full file at https://testbanku.eu/ b

. It is false. Example: Find the least-squares line for the data Solution: Here, we have n = 2 and

The least-squares line for the data is given by linear equation y = f(x) = mx + bwhere the constants m and b satisfy the normal equations

Then, we obtain the normal equations

Solving them, we found

Therefore, the required least-squares line is y = x + 0.4. The scatter diagram and the least-squares line are shown in the figure. We can see that the line does not pass through any data point.



Full file at https://testbanku.eu/267. The least-squares line must pass through at least one data point. a. true b. falseANSWER: bPOINTS: 1QUESTION TYPE: Multiple ChoiceHAS VARIABLES: TrueDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM

268. Determine whether the statement is true or false.

The least-squares line must pass through at least one data point.ANSWER: falsePOINTS: 1QUESTION TYPE: Subjective Short AnswerHAS VARIABLES: FalseDATE CREATED: 12/11/2013 2:13 AMDATE MODIFIED: 12/11/2013 2:13 AM



The least-squares line must pass through at least one data point.ANSWER: It is false. Example:

Find the least-squares line for the data .Solution:Here, we have n = 5 and

The least-squares line for the data is given by linear equation y = f(x) = mx + bwhere the constants m and b satisfy the normal equations

Then, we obtain the normal equations

Solving them, we foundm = 1b = 0.4Therefore, the required least-squares line isy = x + 0.4 .The scatter diagram and the least-squares line are shown in the figure. We can see that the line does not pass through any data point.

POINTS: 1QUESTION TYPE:

Essay

HAS VARIABLES:

False


Full file at https://testbanku.eu/DATE CREATED:

12/11/2013 2:13 AM

DATE MODIFIED:

4/29/2014 7:56 AM

270. Find the equation of the least-squares line for the given data. Draw a scatter diagram for the given data and graph the least-squares line.

x 1 2 3 4y 4 6 8 9 a. b.

c. d.




x 1 2 3 4y 4 6 8 12 a. b.

c. d.




x 1 3 5 7 9y 9 8 6 4 2 a. b.

c. d.




x 1 3 5 7 9y 9 7 6 3 2 a. b.

c. d.



chapter 01 - straight lines and linear functions · web view53. will barclay wishes to determine...

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