Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 24
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4712.
BIKE JUMPS
A bunny hop is a bike trick in which the rider brings
both tires off the ground without using a ramp. The table shows the
height y (in inches) of a bunny hop on a bike that weighs x pounds.
Weight (pounds), x
19
21
23
Height (inches), y
10.2
9.8
9.4
a. Write a linear function that relates the height of
a bunny hop to the weight of the bike.
b. Graph the linear function.
c. What is the height of a bunny hop on a bike that
weighs 21.5 pounds?
13.
BATTERY
The graph shows the percent y (in decimal form)
Laptop Battery
of battery power remaining x hours after you turn on a
y
laptop computer.
1.0
0.8
a. Write a linear function that relates y to x.
0.6
b. Interpret the slope, the x-intercept, and the
0.4
0.2
y-intercept.
0
c. After how many hours is the battery power at 75%?
0
1
2
3
4 5
6
x
Hours
4
4
14.
RACE
You and a friend race each other. You give your friend a 50-foot
head start. The distance y (in feet) your friend runs after x seconds is
represented by the linear function y = 14x + 50. The table shows the
distances you run.
Time (seconds), x
2
4
6
8
Distance (feet), y
38
76
114
152
a. Who runs at a faster rate? What is that rate?
b. Write a linear function that relates your distance to the number of
seconds. In the same coordinate plane, graph the linear functions
that represent the distances of you and your friend.
c. For what distances will you win the race? Explain.
Hiking
y
15.
CALORIES
The number of calories burned y after
30
x minutes of kayaking is represented by the linear function
25
y = 4.5x. The graph shows the calories burned by hiking.
20
15
a. Which activity burns more calories per minute?
10
5
b. How many more calories are burned by doing the
0
activity in part (a) than the other activity for
0
1
2
3
4 5
6
x
Minutes
45 minutes?
262
Chapter 6
Functions
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