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www.AlgebraNation.com Section 4 Topic 2
Name
__________________________________________Date_______________________
Linear Functions Rate of Change in Linear Functions Independent
Practice 1. Jeff Mordon drives 140 miles in 4
hours.
Part A: What is his rate of change?
Part B: Represent the situation on the graph below.
2. Claire and Rachel play volleyball for different teams.
Claire’s team practices seven hours every two days and Rachel’s
team practices eight hours every three days. Match each player to
the graph that represents the average number of hours that they
practice each day over a seven-day period.
o Claire o Rachel
o Claire o Rachel
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www.AlgebraNation.com Section 4 Topic 2
3. Steve is trying to increase his average pace per mile
by running hills. The hill on 1st Avenue rises 3 vertical feet for
each horizontal foot. The hill on 16th Avenue rises 1 vertical foot
for every 3 horizontal feet. Which hill will be more difficult for
Steve to run up? Explain your reasoning.
4. The following graph represents the amount that Camila
and Lydia charge for their babysitting services.
Which of the following statements are true? Select all that
apply.
o The rate of change of each line represents the amount
each girl charges per hour for her babysitting services.
o Lydia’s rate of change is greater than Camila’s rate of
change. o Lydia’s rate of change is $7 per hour. o
Camila charges $35 for 5 hours of babysitting services. o
Lydia charges $14 for 2 hours of babysitting services.
Number of hours babysitting
Cha
rge for b
abysitting
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www.AlgebraNation.com Section 4 Topic 2
5. Keon and Lesha are comparing their daily caloric
intake. Each day, Lesha chooses healthy 100-calories snacks such as
apples and carrots while Keon chooses snacks like chips and candy
that have 200 calories each.
Part A: Draw a graph to represent Keon’s Lesha’s caloric intake
based on the number of snacks they eat, labeling each line and the
axes.
Part B: What does the rate of change for each line
represent?
Part C: What is Lesha’s rate of change?
Part D: How does Lesha’s rate of change compare to Keon’s rate
of change? Why are the two rates different from one another?
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www.AlgebraNation.com Section 4 Topic 2
6. Steve repairs elevators. When he is called to a job he
uses the stairwell to go to the floor on which the elevator is
located. In the Modis building, he climbs 22 steps for every 15
feet of horizontal travel. In the Sears tower, he climbs 17 steps
for every 7 feet of horizontal travel.
Part A: What is the rate of change for each stairwell?
Part B: Which stairwell will be easier to climb? Explain your
reasoning.
7. J.K. Rowling and R.L. Stine are both reading the
Hunger Games. J.K. reads 35 pages every 2 hours and R.L. reads 45
pages every 3 hours.
Part A: What is the rate of change for each reader?
Part B: If The Hunger Games is 355 pages, who will finish the
book first?
8. José drives 65 miles per hour when he travels. Sherry
drives 450 miles in 9 hours. Which driver has a faster rate of
change?
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www.AlgebraNation.com Section 4 Topic 2
9. The following graph represents the money Matthew and
Mitchell spend each hour when they play video games at the local
arcade.
Which of the following statements are true? Select all that
apply.
o Matthew is spending his money at a faster rate than
Mitchell. o The rate of change represents the money the boys
spend per hour playing video
games. o Mitchell spends $3 every hour he plays video
games. o Matthew spends $5 every hour he plays video
games.
Hours Playing Video Games
Am
ount
of M
one
y Sp
ent (
in d
olla
rs)
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www.AlgebraNation.com Section 4 Topic 2
10. Mrs. Cugini collected data on the hand span length
and height of each of her Algebra 1 students. The graph below
represents the scatterplot of the data for one class.
Part A: What is the slope of the graph? Part B: What does the
slope represent?
Heig
ht o
f Stu
dent
s (in
inc
hes)
Hand Span Length (in inches)
