2-3 Interpreting Graphs Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day...
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2-3 Interpreting Graphs Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes
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Transcript of 2-3 Interpreting Graphs Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day...
2-3 Interpreting Graphs
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
2-3 Interpreting Graphs
Warm Up
Use the table for problems 1 and 2.
1. In which week did Alicia save the most?
2. How much did Alicia save in all?
week 3
$25
2-3 Interpreting Graphs
Problem of the Day
A health club charges $100 to join and $25 per month. There is also an $8 fee per aerobic class. Julia joins the health club for 4 months and takes 12 aerobic classes. What is her total cost?
$296
2-3 Interpreting Graphs
Learn to interpret information given in a graph and to make a graph to model a situation.
2-3 Interpreting Graphs
The graphs show the speeds of two cars over time. Tell which graph corresponds to each situation. Graph 2 Graph 3
Additional Example 1A: Matching Situations to Graphs
Time
Sp
ee
d
0
10
20
30
40
50
60
Time
Sp
ee
d0
10
20
30
40
50
60
Mr. Lee is traveling on the highway. He pulls over, stops, then accelerates rapidly as he gets back on the highway. Graph 2
2-3 Interpreting Graphs
The graphs show the speeds of two cars over time. Tell which graph corresponds to each situation. Graph 1 Graph 2
Additional Example 1B: Matching Situations to Graphs
Time
Sp
ee
d
0
10
20
30
40
50
60
Time
Sp
ee
d0
10
20
30
40
50
60
Ms. Montoni slows down as she leaves the main road. She continues to slow down as she turns onto other streets and eventually stops in front of her house. Graph 1
2-3 Interpreting Graphs
Check It Out: Example 1A
Tell which graph corresponds to the situation described below.
Time
Run
ner’
s Sp
eed
Time
Run
ner’
s Sp
eed
Time
Run
ner’
s Sp
eedGraph 1 Graph 2 Graph 3
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.
2-3 Interpreting Graphs
Check It Out: Example 1B
Tell which graph corresponds to the situation described below.
Time
Run
ner’
s Sp
eed
Time
Run
ner’
s Sp
eed
Time
Run
ner’
s Sp
eedGraph 1 Graph 2 Graph 3
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.
2-3 Interpreting Graphs
Create a graph for the situation. Tell whether the graph is continuous or discrete.
The table showsthe temperatureinside a car over time.
Time 8:00 8:30 12:00 12:30Temp.(F) 71 71 82 74
Car Temperature
6466687072747678808284
8:00 8:30 12:00 12:30
Time
Tem
p (
F)
Additional Example 2A: Creating a Graph of a Situation
Since every value of time has a corresponding altitude, connect the points.
The graph is continuous.
2-3 Interpreting Graphs
Create a graph for the situation. Tell whether the graph is continuous or discrete.
A market sells pumpkins for $5 each.
Pumpkin Cost
0
5
10
15
20
25
30
35
40
0 2 4 6 8
Pumpkins Purchased
Cost(
$)
Additional Example 2B: Creating a Graph of a Situation
The cost (y-axis) increases by $5 for each pumpkin purchased (x-axis).
Because each person can only buy whole pumpkins or none at all, the graph is distinct points.
The graph is discrete.
2-3 Interpreting Graphs
Create a graph for the situation. Tell whether the graph is continuous or discrete.
The table showsthe distance traveled during a family vacation.
Distance Travelled
Check It Out: Example 2A
Since every value of time has a corresponding altitude, connect the points.
The graph is continuous.
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)
2-3 Interpreting Graphs
Create a graph for the situation. Tell whether the graph is continuous or discrete.
A business sells t-shirts for $10 each.
T-Shirt Cost
0
10
20
30
40
50
60
70
80
0 2 4 6 8
T-shirts Purchased
Cost(
$)
Check It Out: Example 2B
The cost (y-axis) increases by $10 for each t-shirt purchased (x-axis).
Because each person can only buy one t-shirt or none at all, the graph is distinct points.
The graph is discrete.
2-3 Interpreting Graphs
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
2-3 Interpreting Graphs
Lesson Quiz Tell which graph corresponds to the situation. Then tell whether the graph is continuous or discrete.
A bus pulls out from the gas station. It drives to its first stop. Then the bus gets on the expressway.
Graph A Graph B
Graph B; continuous
Time
Sp
eed
Time
Sp
eed
2-3 Interpreting Graphs
1. Maggi has $25 in her bank account. She gets $5 every day from her father and deposits the money in the account for the first three days. On the fourth day, she buys a hat for herself with the money. Identify the table that corresponds to this situation.
A. B.
Lesson Quiz for Student Response Systems
