1. Interpreting Graphs and Tables
1-9
Interpreting Graphs and Tables
Warm Up
Problem of the Day
Lesson Presentation
Pre-Algebra

2. Interpreting Graphs and Tables
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 Savings
1 $3
2 $5
3 $10
4 $2
5 $6
6 $4
week 3 $5

3. 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

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

5. 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 93F.
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 —

6. Additional Example 1: Matching Situations to Tables
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 30 55 10

7. Additional Example 1A: Matching Situations to Tables
Car 1
Car 2
Car 3
Time
1:00
1:05
1:10
1:15
1:20 50 30 55 10
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.

8. Additional Example 1B: Matching Situations to Tables
Car 1
Car 2
Car 3
Time
1:00
1:05
1:10
1:15
1:20 50 30 55 10
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.

9. Additional Example 1C: Matching Situations to Tables
Car 1
Car 2
Car 3
Time
1:00
1:05
1:10
1:15
1:20 50 30 55 10
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.

10. 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 : : : : :40
Runner
Runner
Runner
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.

11. 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 : : : : :40
Runner
Runner
Runner
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.

12. 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 : : : : :40
Runner
Runner
Runner
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.

13. Additional Example 2A: Matching Situations to Graphs
Tell which car in Example 1 corresponds to each graph.
View Table
Time
Speed
Car 1

14. Additional Example 2B: Matching Situations to Graphs
Tell which car in Example 1 corresponds to each graph.
View Table
Speed
Car 2
Time

15. Additional Example 2C: Matching Situations to Graphs
Tell which graph corresponds to the situation described in Example 1.
View Table
Speed
Car 3
Time

16. The table gives the speed in mi/h of three cars at the given times
The table gives the speed in mi/h of three cars at the given times. Tell which car corresponds to the situation.
Return
Car 1
Car 2
Car 3
Time
1:00
1:05
1:10
1:15
1:20 50 30 55 10

17. Try This: Example 2A
Tell which graph corresponds to the situation described in Example 1: Try This 1.
Time
Runner’s Speed
Time
Runner’s Speed
Time
Runner’s Speed
Graph 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.

18. Try This: Example 2B
Tell which graph corresponds to the situation described in Example 1: Try This 1.
Time
Runner’s Speed
Time
Runner’s Speed
Time
Runner’s Speed
Graph 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.

19. Try This: Example 2C
Tell which graph corresponds to the situation described in Example 1: Try This 1.
Time
Runner’s Speed
Time
Runner’s Speed
Time
Runner’s Speed
Graph 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.

20. Additional Example 3: Creating a Graph of a Situation
Create a graph that illustrates the temperature (F) inside the car. .
Car Temperatures
Work
Cleaners
Market
65 at 4:50
65 at 5:10
42 at 4:30
49 at 5:40
Location
Temperature on Arrival
Temperature on Departure
68 at 12:30
60 at 5:00

21. 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 2:00
Distance (mi)
Time
Distance (mi)
Distance Traveled

22. 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 2
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