Pre-Algebra

Interpreting Graphs and Interpreting Graphs and TablesTables

1-9

Use the table to answer the following:

1. In which week did Alicia earn the most?

2. What is the average amount Alicia earned in one week?

week 3

$5

Week Savings

1 $3

2 $5

3 $10

4 $2

5 $6

6 $4

Warm UpWarm Up

Learn to interpret information given in a graph or a table and make a graph to help solve problems.

Home

Cleaners

Mall

Market

75 at 1:15

72 at 1:45

80 at 4:00

140 at 1:05

95 at 1:25

165 at 3:45

125 at 4:20

Location Temperature on Arrival

Temperature on Departure

—

The table below show how quickly the temperature can increase in a car that is left parked during an afternoon of errands when the outside temperature is 93F.

The table gives the speeds in mi/h of three cars at given times. Tell which car corresponds to the situation.

Car 1

Car 2

Car 3

Time 1:00 1:05 1:10 1:15 1:20

50 50 30 30 0

55 50 50 55 50

55 10 0 0 55

Matching Situations to TablesMatching Situations to Tables

A. Mr. Lee is traveling on the highway, and he pulls over to make a call on his cell phone. Then he gets back onto the highway.

Car 3 - Mr. Lee starts to slow down after 1:00. After making his phone call, he gets back onto the highway and resumes his speed of 55 mi/h.

Car 1

Car 2

Car 3

Time 1:00 1:05 1:10 1:15 1:20

50 50 30 30 0

55 50 50 55 50

55 10 0 0 55

Matching Situations to TablesMatching Situations to Tables

B. Mrs. Healy is driving on the freeway between 1:00 and 1:20 and encounters no traffic.

Car 2 - Mrs. Healy car maintains a speed between 50 mi/h and 55 mi/h.

Car 1

Car 2

Car 3

Time 1:00 1:05 1:10 1:15 1:20

50 50 30 30 0

55 50 50 55 50

55 10 0 0 55

Matching Situations to TablesMatching Situations to Tables

C. At 1:00 Mr. Johns estimates that he will arrive at his destination in approximately 20 minutes.

Car 1 - Mr. Johns speed begins to decrease to 0 sometime between 1:15 and 1:20.

Car 1

Car 2

Car 3

Time 1:00 1:05 1:10 1:15 1:20

50 50 30 30 0

55 50 50 55 50

55 10 0 0 55

Matching Situations to TablesMatching Situations to Tables

The table gives the speed in mi/h of three runners at the given times. Tell which runner corresponds to the situation.

Time 8:00 8:10 8:20 8:30 8:40

Runner 1 6 7 7 7 7

Runner 2 9 6 0 0 0

Runner 3 8 3 8 3 8

A. Jamie begins the race, and soon feels a pain in a muscle. He is unable to complete the race.

Runner 2—Jamie begins at a fast speed. His speed decreases as he feels a pain in a muscle, and then decreases to 0 when he stops.

ExampleExample

The table gives the speed in mi/h of three runners at the given times. Tell which runner corresponds to the situation.

Time 8:00 8:10 8:20 8:30 8:40

Runner 1 6 7 7 7 7

Runner 2 9 6 0 0 0

Runner 3 8 3 8 3 8

B. Melissa builds up her speed during the beginning of the race. She maintains her running speed for the remainder of the race.

Runner 1—Melissa begins running at a rate of 6 mi/h and then speeds up to 7 mi/h. She maintains 7 mi/h for the remainder of the race.

ExampleExample

The table gives the speed in mi/h of three runners at the given times. Tell which runner corresponds to the situation.

Time 8:00 8:10 8:20 8:30 8:40

Runner 1 6 7 7 7 7

Runner 2 9 6 0 0 0

Runner 3 8 3 8 3 8

C. Ann decides to alternate between running and walking during the race.

Runner 3—Ann is running at a rate of 8 mi/h and then walks at a rate of 3 mi/h. She continues alternating between running and walking.

ExampleExample

Tell which car in Example 1 corresponds to each graph.

Car 1

Time

Sp

eed

0

10

20

30

40

50

60

View Table

Matching Situations to GraphsMatching Situations to Graphs

Tell which car in Example 1 corresponds to each graph.

Car 2

Time

Sp

eed

0

10

20

30

40

50

60

View Table

Matching Situations to GraphsMatching Situations to Graphs

Tell which graph corresponds to the situation described in Example 1.

Car 3

Time

Sp

eed

0

10

20

30

40

50

60

View Table

Matching Situations to GraphsMatching Situations to Graphs

Tell which graph corresponds to the situation described in Example 1: Try This 1.

A. Jamie begins the race, and soon feels a pain in a muscle. He is unable to complete the race.

Graph 2—Jamie is unable to complete the race, so his speed decreases to zero.

ExampleExample

Tell which graph corresponds to the situation described in Example 1: Try This 1.

B. Melissa builds up her speed during the beginning of the race. She maintains her running speed for the remainder of the race.

Graph 1—Melissa’s speed increases at the beginning and then the graph remains constant.

ExampleExample

Tell which graph corresponds to the situation described in Example 1: Try This 1.

C. Ann decides to alternate between running and walking during the race.

Graph 3—Ann’s speed decreases and increases at steady intervals throughout the race.

ExampleExample

Create a graph that illustrates the temperature (F) inside the car.

Work

Cleaners

Market

65 at 4:50

65 at 5:10

42 at 4:30

49 at 5:40

LocationTemperature

on ArrivalTemperature on Departure

68 at 12:30

60 at 5:00

.

Car Temperatures

Creating a Graph of a SituationCreating a Graph of a Situation

Create a graph that illustrates the information in the table about the distance traveled during a family vacation.Time 8:00 10:00 12:00 2:00Distance (mi) 280 320 500 580

0

100

200

300

400

500

600

700

8:00 10:00 12:00 2:00

Time

Dis

tan

ce (

mi)

Distance Traveled

ExampleExample

Tell which table corresponds to the situation.

A tour bus sits at the gas station while the mechanic inspects the tires. It then leaves and make its first stop five miles down the road. The bus then continues on to its destination by getting on the expressway and driving 40 miles.

Table 1

Time Speed

3:00 20 mi/h

3:05 20 mi/h

3:10 0 mi/h

3:15 55 mi/h

Table 2

Time Speed

3:00 0 mi/h

3:05 20 mi/h

3:10 0 mi/h

3:15 55 mi/h

Table 3

Time Speed

3:00 0 mi/h

3:05 10 mi/h

3:10 20 mi/h

3:15 55 mi/h

Table 2

Lesson QuizLesson Quiz