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1-9 Interpreting Graphs and Tables

Pre-Algebra

Pre-Algebra: 1-9 HW

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Review

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1-9 Interpreting Graphs and Tables

Pre-Algebra

1-9 Interpreting Graphs and Tables

Pre-Algebra

Warm UpWarm Up

Problem of the DayProblem of the Day

Lesson PresentationLesson Presentation

1-9 Interpreting Graphs and Tables

Pre-Algebra

Warm Up

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

1-9 Interpreting Graphs and Tables

Pre-Algebra

1-9 Interpreting Graphs and Tables

Pre-Algebra

Problem of the Day

The fine for a late movie at a video store is $1.00 for the first day and $2.50 for each day after that. There is also a $1.00 fee if the movie is not rewound. What is the total fine if the move is 4 days late and not rewound?

$9.50

1-9 Interpreting Graphs and Tables

Pre-Algebra

Today’s Learning Goal

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

solve problems.

1-9 Interpreting Graphs and Tables

Pre-Algebra

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.

1-9 Interpreting Graphs and Tables

Pre-Algebra

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

Additional Example 1: Matching Situations to Tables

1-9 Interpreting Graphs and Tables

Pre-Algebra

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.

Additional Example 1A: Matching Situations to Tables

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

1-9 Interpreting Graphs and Tables

Pre-Algebra

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

Additional Example 1B: Matching Situations to Tables

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

1-9 Interpreting Graphs and Tables

Pre-Algebra

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

Additional Example 1C: Matching Situations to Tables

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

1-9 Interpreting Graphs and Tables

Pre-Algebra

Try This: Example 1A

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.

1-9 Interpreting Graphs and Tables

Pre-Algebra

Try This: Example 1B

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.

1-9 Interpreting Graphs and Tables

Pre-Algebra

Try This: Example 1C

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.

1-9 Interpreting Graphs and Tables

Pre-Algebra

Tell which car in Example 1 corresponds to each graph.

Additional Example 2A: Matching Situations to Graphs

Car 1

Time

Sp

eed

0

10

20

30

40

50

60

View Table

1-9 Interpreting Graphs and Tables

Pre-Algebra

Tell which car in Example 1 corresponds to each graph.

Additional Example 2B: Matching Situations to Graphs

Car 2

Time

Sp

eed

0

10

20

30

40

50

60

View Table

1-9 Interpreting Graphs and Tables

Pre-Algebra

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

Additional Example 2C: Matching Situations to Graphs

Car 3

Time

Sp

eed

0

10

20

30

40

50

60

View Table

1-9 Interpreting Graphs and Tables

Pre-Algebra

Try This: Example 2A

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

Time

Run

ner’

s Sp

eed

Time

Run

ner’

s Sp

eed

Time

Run

ner’

s Sp

eedGraph 1 Graph 2 Graph 3

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.

1-9 Interpreting Graphs and Tables

Pre-Algebra

Try This: Example 2B

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

Time

Run

ner’

s Sp

eed

Time

Run

ner’

s Sp

eed

Time

Run

ner’

s Sp

eedGraph 1 Graph 2 Graph 3

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.

1-9 Interpreting Graphs and Tables

Pre-Algebra

Try This: Example 2C

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

Time

Run

ner’

s Sp

eed

Time

Run

ner’

s Sp

eed

Time

Run

ner’

s Sp

eedGraph 1 Graph 2 Graph 3

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.

1-9 Interpreting Graphs and Tables

Pre-Algebra

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

Additional Example 3: Creating a Graph of a Situation

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

1-9 Interpreting Graphs and Tables

Pre-Algebra

Try This: Example 3

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

1-9 Interpreting Graphs and Tables

Pre-Algebra

Lesson Quiz 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