interpreting-function-relationships

```Name _______________________________________________ Date _______________________________
INTERPRETING FUNCTION RELATIONSHIPS
Use each story and graph to answer the questions below.
Aiden and his brother, Elijah, are canoeing. At first, they paddle
quickly away from the dock. Before long, they get tired and decide
to rest for a few minutes. Then, they paddle back to the dock slower
than before.
a. How long did Aiden and Elijah rest before returning to the dock?
b. How far did they paddle before they rested?
c. How long did it take Aiden and Elijah to paddle back to the dock?
y
1,800
1,600
Distance from dock (m)
1
1,400
1,200
1,000
800
600
400
200
0
5
10
15
20
25
30
35
40
45
14
16
18
x
Time (min.)
2
A snowboarder starts at the top of a mountain. Then, she snowboards
down the mountain and ends at the lodge. The graph to the right
shows her elevation above sea level over time.
y
4,500
4,000
a. What is her elevation at the top of the mountain?
c. During which interval of time did the snowboarder descend
faster: between 0 and 6 minutes or between 6 and 16 minutes?
Explain how you know.
Elevation (ft.)
b. What is her elevation at the lodge?
3,500
3,000
2,500
2,000
1,500
1,000
500
0
2
4
6
8
10
12
x
Time (min.)
y
Camilla went on a bike ride yesterday. It was a hot day, so she
stopped along the way for water breaks. The graph to the right
shows the total distance Camilla rode over time.
20
a. How many times did Camilla stop for a water break?
Distance (km)
3
b. How far did Camilla bike in all?
c. At what rate did Camilla bike before she took her first water
break? Make sure to write your rate in terms of kilometers
per hour.
15
10
5
0
0.5
1
1.5
2
x
Time (h.)
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