test bank for college algebra final exam and review

Review Problem Set Revised Spring 2011

Review for College Algebra Final Exam

1. Is r(t) a function?

a. r(t) is not a function

b. r(t) is a function


t 1 3 4 5

r(t) 2 -1 2 3

a. r(t) is a function

b. r(t) is not a function


r(t) = {(-2, 1), (0, 3), (0, 4), (1, 0)}

a. r(t) is a function

b. r(t) is not a function

4. A store’s total sales, S, of a shirt when it is priced at price p, in dollars, is given by

2 44.7S p . Which of the following is the best interpretation of the slope of this

function?

a. The sales are decreasing by two dollars per shirt.

b. The sales are decreasing by two dollars per year.

c. The sales are decreasing by two shirts per year.

d. The sales are decreasing by two shirts per dollar.

e. The sales are decreasing by two years per shirt.

5. Line l is given by y 32

3x and point P has coordinates (6, 5). Find the equation of

the line containing P and perpendicular to l.

a. y 43

2x b. y 3

3

2x c. y 3

6

5x

d. y 33

2x e. y 14

3

2x

5 10-5-10

5

10

-5

-10

r(t)


6. Calculate the average rate of change between x = 4 and x = 8 for the function

3( ) 5

2f x x .

a. 6 b. 9

2 c.

3

2 d. 4 e.

2

3

7. Find the average rate of change between the points (-2, f(-2)) and (3, f(3)) for the

function xxxf 22)( 2

a. 2 b. 1 c. 0 d. -2 e. 2

8. The population of a certain bacteria is growing exponentially according to the

function 100(1.035)tP where t is the number of hours after 1pm. Find the average

rate of change of the population from 3pm to 5pm. Round to the nearest tenth.

a.

bacteria7.6

hour b.

bacteria3.8

hour c.

bacteria7.1

hour

d. bacteria

11.6hour

e. none of these

9. The Robinson’s are planting a tree in their front yard. The sales person at the local

nursery tells them the tree they are purchasing will grow approximately half a foot

every three years. The tree is four and one-half feet tall right now. Write an equation

to model the height of this tree t years after it’s planted.

a. h(t) 4.5 0.167t b. h(t) 4.5 0.5t c. h(t) 41

2

1

2t

d. h(t) 5 t e. h(t) 4.5t

3

10. The table below gives data from a linear function. Find a formula for the function.

Price per shirt, p($) 15 20 25

Number of shirts sold, q = f(p) 1000 750 500

a. f ( p) 1750 p 50 b. f ( p) 1000 50p c. f ( p) 1000 50 p

d. f ( p) 1750 50 p e. f ( p) 1750 50p

11. Consider f(x) = 3x 1. Find f(x + h) – f(x) and simplify.

a. 3h b. h c. h 2 d. 2x + 3h 1 e. fh 2

12. Given 3)( 2xxf find and simplify ( 2)f x

a. 12x b. 12x c. 22x d. 142 xx e. 442 xx

13. Given 3)( 2xxf find and simplify ( ) 2f x a. 12x b. 12x c. 22x d. 142 xx e. 442 xx


14. Given 3)( 2xxf find and simplify ( ) ( )f a h f a a. 22 hah b. 62 2hah c. 2h d. 32 2hah e. 62h

15. Determine the range of the function: y 3x2

5

a. y > 5 b. y < 5 c. All real numbers

d. y < 5 e. x < 5

16. Find the zeros of the function: P( x) x2

4x 5.

a. x = 0 b. x = 1, x = 5 c. x = 1, x = 5 d. x = 5 e. No real zeros

17. Find the domain of the function: g( x)

x 4

x 4.

a. x ≠ 4 b. 4 < x < c. 4 < x < d. 4 < x <

e. All real numbers

18. A cup of hot tea gradually cools off until it reaches room temperature. Sketch a graph

of the temperature of the tea vs time.

a. b. c.

d. e.

19. Consider the function given in the table:

x 0 1 2 3 4 5

F(x) 400 370 320 250 170 70

Which of the following best describe F(x):

a. increasing, concave up b. decreasing, concave up

c. increasing, concave down d. decreasing, concave down

e. decreasing, no concavity

Temp

Time

Temp

Time

Temp

Time

Temp

Time

Time

Temp


20. Use function notation to write a formula for the function whose graph is shown

below:

a. f (x)x 2, 0 x 5

0, 5< x 8 b. f(x) = x + 2

c. f (x)x 2, 0 x 5

7, x 5 d. f (x)

x 2, 0 x 5

7, 5< x 8

e. Domain: 0 x 8

Range: 2 f (x) 7

Questions 21 – 24 are based on the following: In 1980 the population of Chandler was 30,000. By 2003, it had grown to 170,000.

21. Assume that the growth was linear. On average, how many people were added to

Chandler’s population each year from 1980 to 2003?

a. 140,000 people b. 6364 people per year c. 6087 people per year

d. 67.4% per year e. 7391 people

22. Assuming that the growth was linear, give a formula that expresses the population x

years since 1980.

a. P 30,000 6087x b. P 30,000 7391x

c. P 30,000 6087x d. P 30,000(1.0693)

x

e. P 6087x 12,022,174

23. Now, assume that the growth was exponential. What was the annual percent growth

rate?

a. 7.83% per year b. 67.4% per year c. 1.0783% per year

d. 6.087% per year e. 5.667% per year

24. Assuming that the growth was exponential, give a formula that expresses the

population x years since 1980.

a. P 30,000(1.0693)x b. P 30,000 7391x

c. P 30,000 6087x d. P 30,000(1.0783)

x

e. P 4.22(1.0783)x

5 10

5

10

y

x


25. What is the effective yield on an investment that pays 6.039% annual interest,

compounded continuously

a. 6.2% b. 1.0603% c. 6.225% d. 6.039% e. Not enough info

26. What is the doubling time for an annual 5% growth rate?

a. 14.2 years b. 5 years c. 13.9 years

d. 33 years e. Not enough information given.

27. What is the doubling time for a quantity that triples every 5 years?

a. 2.5 years b. 3.2 years c. 5 years

d. 4 years e. Not enough information given.

28. What is the annual decay rate for a quantity that has a half life of 23 years?

a. 3% b. 12% c. 5%

d. 4% e. Not enough information given.

29. Use the properties of logs to expand: log

m2

n

a. log2m log n b. (logm)2

log n c. 2logm log n

d. 2logm

log n e.

m2

n

30. Solve for x: ln x 3

a. e b. 3e c. 3 d. ln(3) e. e3

31. Solve for a: 225log a

a. 2 b. 10 c. e d. 5

32. Solve for t: log (2t + 1 ) + 1 = 0

a. 10 b. 2

1 c.

2

1 d.

22

10 e.

20

9

33. Solve for x: 3)2(log)(log 22 xx

a. 4 b. 2 c. -1 d. -2 e. no solution

34. If xb 2log

and yb 3log

find 8

log27

b in terms of x and y

a. 3x + 3y b. 3x – 3y c. x + y d. x – y e. none of these

35. Which of the following is NOT an equivalent way of writing 1

lnxy

?

a. ln( )xy b. ln( ) ln( )x y c. ln( ) ln( )x y d. (ln( ) ln( ))x y


36. Find a quadratic equation, written in standard form, for the graph below:

a. y1

2x

22x 2 b. y x

24x 5 c. y x

24x 1

d. y 4x2

2x 2 e. y 4x2

2x 2

37. The table displays ordered pairs for two functions, f and g.

x –3 –2 –1 0 1 2 3

f (x ) 5 0 –3 –4 –3 0 5

g( x) –5 0 3 4 3 0 –5

Notice that g is a transformation of f. Describe specifically how g is related to f.

a. f is not a function

b. g is a reflection of f across the y-axis

c. f and g are function inverses

d. g is a shift of f down 5 units.

e. g is a reflection of f across the x-axis

Questions 38 – 39 are based on the following:

Let f (x )

1

3x

2.

38. Describe in words the effects of the following transformation on the graph of f (x ):

f (x 3) 9

a. The graph is moved 1 unit left and 3 units up.

b. The graph is moved 3 units up and 9 units left.

c. The graph is moved 3 units right and 9 units up.

d. The graph is moved 3 units left and 9 units up.

e. The graph is moved 1 unit right and 3 units down.

39. Write a formula for y f (x 3) 9 .

a. y f (1

3x

23) 9 b. y

1

3(x 3)

29 c. y

1

3x

212

d. y (x 3)2

9 e. y (x 1)2

3



x –3 –2 –1 0 1 2 3

G(x) 2 m 3 –2 5

H(x) 1 –7 4 0 n

40. Assuming that G(x) is an even function, what is the value of m?

a. m = –5 b. m = 5 c. m = 1 d. m = 0 e. m = 2.5

41. Assuming that H(x) is an odd function, what is the value of n?

a. n = –5 b. n = –7 c. n = 4 d. n = –2 e. n = 7

42. The figure below shows the graph of y = f(x).

Which of the following is a graph of y 2 f (x)?

a. b. c.

d. e.

1 2-1-2

1

2

-1

-2

(0.6, -0.4)

(-0.6, 0.4)

x

y


43. Which of the following is the range of f(x) = ln(x – 4)?

a. x > 4.14 b. y > –1.9 c. y > 0 d. x > 0 e. all real numbers

44. Which of the following is an x-intercept of f(x) = ln(x – 4)?

a. (0, 5) b. (–5, 0) c. (1, 0) d. No x-intercept e. (5, 0)

45. Which of the following is a y-intercept of f(x) = ln(x – 4)?

a. (5, 0) b. (0, 1) c. (0, –4.14) d. (1, 0) e. no y-intercept

46. Which of the following is a vertical asymptote of f(x) = ln(x – 4)?

a. x 4 b. x = 0 c. x = 4 d. y = 0 e. x = 5

47. If f (x ) 2x and g( x) x2. Find f (g(x )) . Do not simplify.

a. f (g(x)) f (2x2) b. f (g(x)) (2x)

2 c. f (g(x)) 2x x

2

d. f (g(x)) 2x(x2) e. f (g(x)) 2x

2

For problems 48-50 use the following tables. Given that h(x) = f(g(x)), find the missing

values

x f(x) x g(x) x h(x)

1 3 1 3 1 4

2 5 2 1 2 x

3 z 3 3

4 4 y 4 5

5 1 5 5

48. Find the value of x in the table.

a. 1 b. 2 c. 3 d. 4 e. 5

49. Find the value of y in the table.

a. 1 b. 2 c. 3 d. 4 e. 5

50. Find the value of z in the table

a. 1 b. 2 c. 3 d. 4 e. 5

51. Let f(g(x)) =

4

1 x2 . Which of the following are possible formulas for f(x) and g(x).

a. f (x) 1 x2 and g(x)

4

x b. f (x)

4

1 and g(x)

1

1 x 2

c. f (x)4

1 x and g(x) x

2 d. f (x)

4

x and g(x) 1 x

2

e. f (x) x2 and g(x)

4

1 x


52. Which of the following methods would be inappropriate to show that f (x ) 3x 2

and g(x)x 2

3 are inverse functions of each other?

a. Compare the graphs of f(x) and g(x).

b. Compare tables of values of f(x) and g(x).

c. Show that f(x) and g(x) pass the horizontal line test.

d. Find the inverse of f(x) algebraically.

e. Show that f(g(x)) = g(f(x)) = x.

Questions 53– 55 are based on the following:

Let f (x ) x 1 and g( x) x2

1 . Write a formula for each function in terms of x.

53. h is the sum of f and g

a. (x 1) (x2

1) 0 b. h(x) x2x 1

c. h(x) x3x 1 d. h(x) x

3x

2x 1

e. h(x) x2x 2

54. j is the product of f and g

a. j(x) x3x

2x 1 b. j(x) x

2x 2

c. j(x) x3x 1 d. j(x)

(x 1)

(x2 1)

e. (x2

1)(x 1) 0

55. m is the square of f

a. m(x) x 1 b. m(x) (x2

1)2

c. (x2

1)2

(x 1)2 d. x

21 (x 1)

2

e. m(x) (x 1)2

56. Newton’s Law of Gravitation states that the magnitude of the gravitational force, F,

exerted by an object of mass M on an object of mass m is proportional to the product

Mm and inversely proportional to the square of the distance d, between them. Write a

formula for this law.

a. Mm

F kd

b. 2F kMmd c.

2

MmF k

d d.

M m

M mF k

d d

e. 2

1 Mm

F kd

57. State the range of f (x ) x4

4x2

2.

a. –2 y < b. –2 < y <

c. –2 < y < 10 d. –3 < x< 3

e. – < y <

1 2 3-1-2-3

5

10


58. State the domain of r( x)

( x 1)( x 2)

(x 3).

a. all reals b. all reals, x 3 c. all reals, x 1, x 3

d. –2 < y < e. –3 < x< 3

Questions 59– 61 are based on the following: When a car skids to a stop, the length L, in feet, of the skid marks is related to the speed

S, in miles per hour, of the car by the power function L1

30hS

2. In this formula, h is a

constant that depends on the road surface (the friction coefficient). For dry concrete

pavement, the value of h is about 0.85.

59. If a driver going 55 mph on dry concrete jams on the brakes and skids to a stop, how

long will the skid marks be?

a. 4.65 feet b. 85.708 feet c. 1186 feet

d. 118.6 feet e. 2.16 feet

60. A policeman investigating an accident on dry concrete pavement measures the skid

marks at 230 feet. How fast was the car going?

a. 77 mph b. 90 mph c. 59 mph

d. 81 mph e. Not enough information is given.

61. According to this formula, what is the effect of doubling your speed on the stopping

distance?

a. Stopping distance is multiplied by 2 b. Stopping distance doubles

c. Stopping distance is four times as great d. Stopping distance is cut in half

e. Not enough information is given.

Questions 62– 68 are based on the following: A partial graph of a polynomial y = p(x) is shown.

The window is –7 < x <7, –4 < x <15.

Answer True or False to each question:

62. One factor of p(x) is (x+5).

a. True b. False

63. There is a double root at x = 0.

a. True b. False

64. p(x) = p(–x).

a. True b. False

65. p(0) = 0

a. True b. False

66. The highest power of p(x) could be 4.

a. True b. False

67. The coefficient of the leading term is negative.

a. True b. False

68. p(x) is an odd function.

a. True b. False

1 2 3 4 5 6-1-2-3-4-5-6

5

10

15


69. Give a possible formula for the polynomial shown in the figure.

a. )3)(1)(3()( xxxxxf b. )3)(1)(3()(

51 xxxxxf

c. )3)(1)(3()( xxxxxf d. )3)(1)(3()(51 xxxxxf

70. What is the least possible degree of the polynomial in number 69?

a. 2nd

degree b. 3rd

degree c. 4th

degree d. 5th

degree e. 6th

degree

71. Suppose f(x) is a polynomial function and r is a real number. Which of the following

statements is not equivalent to the statement (x – r) is factor of the polynomial f(x).

a. f(r) = 0. b. (r, 0) is an x-intercept of the graph. c. f(0) = r.

d. x = r is a solution of the equation f(x) = 0. e. r is the input and 0 is the output.

72. Construct a rational function r( x)

p(x )

q(x ), having x = –2 and x = 3 as vertical

asymptotes and y = 4 as a horizontal asymptote. Both p(x) and q(x) are quadratic

polynomials.

a. r(x)4x

23x 5

(x 2)(x 3) b. r(x)

4

(x 2)(x 3)

c. r(x)(x 2)(x 3)

4 d. r(x)

4x2

3x 5

(x 2)(x 3)

e. r(x)x

24

(x 2)(x 3)


Use the graph f(x) for problems 73-76

73. Write the equation(s) of the vertical asymptote(s) of f(x).

a. x 0 b. 3,4 xx c. y = 0

d. 3,4 xx e. there are none

74. If f(x) has a horizontal asymptote, write its equation.

a. y = -2 b. y = 0 c. x = 0

d. y = 1 e. None

75. Determine the zero(s) of f(x).

a. x = –4, x = 3, x = 1 and x = –2 b. x = 4 and x = –3 c. x = 3 and x= - 4

d. x = -2 e. No zeros

76. Give a possible formula for f(x).

a.)4)(3(

2)(

xx

xxf b.

)4)(3(

2)(

xx

xxf c.

)4)(3(

2)(

xx

xxf

d. )4)(3(

2)(

xx

xxf e.

)4)(3(

2)(

xx

xxf


Questions 77– 83 are based on the following: At time t months, t > 0, the population of Weezers is W(t) thousands, and the

population of Zogs is Z(t) thousands. The formulas for these are given by

W(t ) 1 10t 2

Z(t ) (1.01) t

Answer True or False to each question:

77. The initial populations are the same.

a. True b. False

78. After one month there are more Weezers than Zogs.

a. True b. False

79. The Weezer population is growing at a decreasing rate.

a. True b. False

80. The Zog population is growing at a decreasing rate.

a. True b. False

81. There will always be more Weezers than Zogs.

a. True b. False

82. In the long run there will be more Zogs than Weezers.

a. True b. False

83. Z(t) is a power function.

a. True b. False

Questions 84 – 86 are based on the following: During an 18 month period, the price of a certain stock could be modeled by

P(t ) 56.5(0.96)t, where t is the number of months since the start of the period.

84. The price of the stock during this period of time …

a. decreased by 4% per month. b. decreased by 96% per month.

c. decreased by 96¢ per month. d. Increased by 96% per month.

e. doubled every 18 years.

85. What was the initial price of the stock?

a. 54.25 b. 56.5 c. 58.85 d. 100

e. Not enough information is given.

86. What was the stock price at the end of the 18-month period?

a. 53.14 b. 73.78 c. 27.01 d. 26.097 e. 27.10


87. Where is the x-intercept of the graph of r( x)

m

( x 3)

n

( x 3).

a. (m + n, 0) b. (0, 0) c. (3m – 3n , 0)

d.

3n 3m

m n,0 e. (m, –n)

88. For the linear function y 5x 6 , when x increases by 10, how does y change?

a. y increases by 56 b. y increases by 60

c. y increases by 50 d. It depends on how big x is

e. y gets 10 times as big

89. For the exponential function y 200(2)x, when x increases by 3, how does y change?

a. y increases by 1600 b. y becomes 8 times as big

c. y becomes 3 times as big d. It depends on how big x is

e. y doubles


Biologists document that the larger the area of a region, the more species live there. The

relationship is best modeled by a power function. Puerto Rico has 40 species of amphibians and

reptiles on 3459 square miles and Hispaniola (Haiti and the Dominican Republic) has 84 species

on 29,418 square miles.

90. Determine a power function that gives the number of species of amphibians and reptiles on a

Caribbean island as a function of its area.

a. N(A) 2.374 (A)0.3466

b. N(A) 40(A)0.3466

c. N(A) 0.0017x 34.137 d. N(A) 36.235(1.0000285 )A

e. N(A) 0.0000000787 (A)6.643

91. Use the power function to predict the number of species of amphibians and reptiles on Cuba,

which measures 44,218 square miles.

a. 97 species b. 1630 species

c. 109 species d. 128 species

e. We don’t know how many species there are on Cuba.

92. Write the following sum in sigma notation:

2 – 10 + 50 – 250 + 1250 – 6250 + 31250

a. 7

1 1

1

( 1) 2(5 )n n

n

b. 7

1

1

5( 2)n

n

c. 6

1

0

2(5 )n

n

d. 6

1

0

5(2 )n

n

e. 8

1 1

1

( 1) 5(2 )n n

n


93. Which of the following sequences is arithmetic?

a.1, 4, 9, 16, 25, 36…

b.2, 4, 6, 8, 10, 12…

c. 61

51

41

31

21 ,,,,

d.2, 8, 32, 128, 512…

e.None of the above.

94. Find the annual percent growth rate of a quantity that doubles every 5 years.

a. 20% b. 14.9% c. 10% d. 1.149% e. Not enough info

95. The half-life of carbon-14 is approximately 5728 years. If a fossil is found with 10%

of its initial amount of carbon-14 remaining, how old is it?

a. 125,182 years b. 19,028 years c. 871 years d. 573 years e. not enough info

96. A population of bacteria decays at a continuous rate of 10% per hour. If the

population starts out with 100,000 bacteria, how many bacteria would remain after 1

day (24 hours)?

a. 9,072 bacteria b. 7,977 bacteria c. 90,000 bacteria d. 10,000 bacteria

97. A population of bacteria is measured to be at 1,000 after 10 minutes since it appeared.

25 minutes after it appeared, it is measured to be 10,000. How many bacteria would

there be after 50 minutes since it first appeared?

a. 100,000 b. 25,000 c. 464,000 d. 2.1 million e. 21.5 million

98. Sam walks for 5 hours along a straight path. During the first 3 hours, he walked at an

average rate of 5 mph. During the next 2 hours, he walked at an average rate of 3

mph. The table shows the data for this story.

h (hours) 0 1 2 3 4 5

m (miles) 0 5 10 15 18 21

Which formula expresses the distance that Sam walks as a function of time.

a. 4.26 0.86m h b. 5 , 0 3

3 6, 3 5

h hm

h h

c. 5, 0 3

3, 3 5

hm

h d.

5.371 0.5714, 0 3

3.5 1.5, 3 5

h hm

h h

e. 5 , 0 3

3 , 3 5

h hm

h h


Use the following information in problems 99 and 100. Suppose the public buys n gallons of gas

when the price is p dollars per gallon. Thus, G(p) = n.

99. What is the meaning of G(p)+60?

a. At least 60 gallons of gas are bought.

b. The total price plus 60 dollars.

c. The price went up 60 cents per gallon.

d. To the total number of gallons bought, add 60 more gallons.

e. G(p) is an increasing function.

100. What is the meaning of G(2p)?

a. The number of gallons sold when the price is cut in half.

b. It costs twice as much for n gallons.

c. The number of gallons sold when the price doubles.

d. The total cost of the gas is cut in half.

e. The price doubled.

Use the following information in problems 101 and 102. Suppose that the revenue for

selling n computers is R dollars. Thus, ( )R f n .

101. Which of the following best describes the meaning of )2( nf .

a. The number of computers doubled.

b. The revenue for selling twice as many computers.

c. The company’s revenue is twice as much if they sell n computers.

d. The total revenue for selling n computers is cut in half.

e. The total revenue for selling half as many computers.

102. Which of the following best describes the meaning of )(2 nf .

a. The number of computers doubled.

b. The revenue for selling twice as many computers.

c. The company’s revenue is twice as much if they sell n computers.

d. The total revenue for selling n computers is cut in half.

e. The total revenue for selling half as many computers.


Use the following information to answer questions 103 and 104. A company that

produces microwaves finds that it costs $30 for each microwave they produce. They

model their cost with the following function, C = f(n) where C is the cost in dollars and n

is the number of microwaves.

103. In the context of this problem, explain the meaning of f(0) in practical terms.

a. When 0 microwaves, they have a cost of $30.

b. The total cost of producing the microwaves.

c. They have no costs.

d. When you spend 0 dollars, you haven’t produced any microwaves.

e. The cost even if no microwaves are produced.

104. In the context of this problem, explain the meaning of f -1

(5000) in practical terms.

a. It would cost $5000 to produce microwaves.

b. When 5000 microwaves are produced, it will cost $150,000 .

c. You subtract 5000 from the number of microwaves, then divide by 30.

d. f -1

(5000) number of microwaves that can be produced for $5000.

e. f -1

(5000) is the cost of producing 5000 microwaves.

Use the following information to answer questions 105 and 106. Let P(x) be the amount

of profit a company earns for producing x units of an item. It costs the company $10.95

to produce each item and they retail for $29.99. They also have an overhead cost of

$5,995.

105. In the context of this problem explain the meaning of P(0) in practical terms.

a. The number of items produced when they have a profit of $0

b. When they sell no items, they make a profit of $5,995.

c. How many items they need to produce to break even.

d. When they sell no items, they make a profit of -$5,995.

106. In the context of this problem explain the meaning of 1(0)P in practical terms.

a. The number of items produced when they have a profit of $0

b. The reciprocal of the profit when they produce 0 items.

c. The product of 0 and 1P .

d. The number of items they have not sold.


Questions 107-109 are based on the following function:

)2)(1(

)3)(4(2)(

xx

xxxR

107. Write the equation(s) of the vertical asymptote(s) of R(x).

a. x 0 b. 3,4 xx c. y 0

d. 2,1 xx e. 3,4 xx

108. If R(x) has a horizontal asymptote, write its equation.

a. y = -2 b. y = 0 c. x = 0

d. y = 1 e. None

109. Determine the zero(s) of R(x).

a. x = 4, x = –3, x = 1 and x = 2 b. x = 4 and x = –3 c. x = 3 and x = - 4

d. x = 1 and x = 2 e. No zeros

110. If an account has an annual growth rate of 4.5%, what is the continuous growth rate.

a. 1.045% b. 4.5% c. 4.4% d. 4.6% e. 0.45

111. A population of bacteria is growing exponentially. Initially (when t = 0) there are 1000

organisms present. After 1 hour, there are 2500. How many will be present after 4 hours.

a. 7000 organisms b. 14,000 organisms c. 36,000 organisms

d. 39,000 organisms e. 41,000 organisms

112.The following table shows a store’s total sales, S, of a shirt when it is priced at price

p, in dollars.

p 10 11 12 13 14 15

S 25 23 20 18 17 15

Use the regression capabilities of your calculator to find a regression equation for S as a

linear function of p.

a. 2 44.7S p b. 2 44.7S p c. 0.5 22.1S p

d. 0.5 22.1S p e. 69.2(.9)pS

113.The following data is best modeled by a polynomial. Which one of the following

regression models best fit this data.

x 0 2 4 6 8 10 12 14 16 18 20

y 5 12 14 15 11 8 3 0 7 12 20

a. 0.07 9y x

b. 20.06 1.1 12.53y x x

c. 3 20.03 0.71 4.79 5.11y x x x

d. 3 20.03 0.71 4.79 5.11y x x x

e. 20.06 1.1 12.53y x x


114. A population grows exponentially as shown below. Which one of the following is

the regression model for this data.

x 1 2 3 4

y 6.3 18.9 56.7 170.1

a. 6.3(3)xy

b. 2.1(3)xy

c. 3(2.1)xy

d. 6.3(2)xy

e. None of these

test bank for college algebra final exam and review

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