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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