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Rate of Change Notes INT
1. The number of entertainment websites in 1995 was 89. By 2007, there were 712 entertainment websites.
Approximately what was the rate of change for the number of websites for this period of time?
A. 52 websites per year
B. 623 websites per year
C. 401 websites per year
D. 19.26 websites per year
2. The electric usage for a computer repair company was charted over four months. What is the rate of change for the
bill during that time?
KWH used Billing
790
$150.10
968
$183.92
1,372
$260.68
1,780
$338.20
A. $0.77 per KWH
B. $0.19 per KWH
C. $1.23 per KWH
D. $0.82 per KWH
3. Which of the following situations represents a linear relationship?
A. A savings account gains 3 percent in interest annually.
B. A company is increasing the volume of a cylindrical container by increasing its radius as the height remains
fixed.
C. The enrollment at a university has doubled every 5 years since 1980.
D. An employee is paid $12 for each hour worked.
4. Mick is making a map for Geography. In order to draw the map, he must create a scale converting the measured
inches on the map to actual miles.
1
1
3
1
1
3
Length in Inches
1 /
1 /
1 /
2 /
2 /
2 /
Length in Miles
30
36
42
54
60
66
4
2
4
4
2
4
Use the table above to identify the scale he used for his map.
A. 1 in = 12 miles
B. 1 in = 24 miles
C. 1 in = 8 miles
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D. 1 in = 6 miles
5. Which statement describes the rate of change of the following function?
f(x) = 8x + 3
A. The function has a constant rate of change, increasing for all x at a rate of 3.
B. The function has a varying rate of change when x > 3.
C. The function has a contant rate of change, increasing for all x at a rate of 8.
D. The function has a varying rate of change when x > 8.
6. At the county fair, one of the more popular booths is the Crawfish Race booth. In the last race, the champion
crawfish traveled 7 mm after the first second and 42 mm after twenty-two seconds.
Approximately what was the average rate of change for the distance covered during that time?
A. 21 mm per second
B. 0.60 mm per second
C. 35 mm per second
D. 1.67 mm per second
7. Water is leaking out of a container. At 2:30 p.m., there are 35 pints of water in the container. At 4 p.m., there are
26 pints of water in the container.
If the water continues leaking out of the container at the same rate, how much water will be in the container at 6:30
p.m.?
A. 41 pints
B. 23 pints
C. 21 pints
D. 11 pints
8. The cost, in dollars, of parking a car in a busy downtown area for h hours is $20 + $2h.
Which statement is correct?
A. For every hour the car is parked, the cost increases by $22.
B. For every hour the car is parked, the cost increases by $2.
C. For every hour the car is parked, the cost increases by $20.
D. For every hour the car is parked, the cost increases by $18.
9. It takes Pervis 20 minutes to ride his bicycle 1.6 miles to school each day. How far can Pervis ride in one hour if he
continues to travel at this speed?
A. 4.8 miles
B. 8.00 miles
C. 0.4 miles
D. 6 miles
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10. The amount of money an employee earns monthly before taxes, in dollars, after selling n products is $1,400 +
$200n.
Which statement is correct?
A. For every product sold, the employee's earnings increase by $1,400.
B. For every product sold, the employee's earnings increase by $1,600.
C. For every product sold, the employee's earnings increase by $1,200.
D. For every product sold, the employee's earnings increase by $200.
11. Fawn ran a 5-kilometer race in 62 minutes. To the nearest hundredth, what was her speed in meters per second?
A. 80.65
B. 1.34
C. 0.08
D. 0.13
12. Adelaide has a credit card with a company that charges $3.50 for every day a payment is late. If she paid
$448.05 for a bill that is 6 days late, how much was the bill without the late fee?
A. $423.55
B. $427.05
C. $444.55
D. $438.55
13. Hannah is an architect, and she drew a blueprint of a house she is designing. The table below shows the length of
the walls of the house on the blueprint along with their actual lengths.
Blueprint Length (cm)
6
11
16
21
26
Actual Length (ft)
9.6
17.6
25.6
33.6
41.6
What scale did Hannah use for her blueprint?
A. 1 cm = 8 ft
B. 1 cm = 1.6 ft
C. 1.6 cm = 1 ft
D. 8 cm = 1 ft
14. On the last day of the month, Sandra has to pay her daughter's preschool tuition and late pick-up fees. Tutition is
$600.90 per month and each fee for a child who is picked up late is $6.00. If Sandra wrote a check for $624.90, how
many days did she pick up her daughter late from preschool?
A. 2
B. 5
C. 4
D. 24
15. In P.E. class, the students recorded their number of heartbeats after exercising. Below is a chart with the number
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of heartbeats recorded after 30, 50, and 70 seconds of exercise.
What is the rate of change of the data in heartbeats per minute?
Seconds Passed No. Heartbeats
30
54
50
90
70
126
A. 72
B. 90
C. 108
D. 180
16.
Autumn had a math homework assignment each day last week. Each assignment had a different number of problems
and took her a different amount of time to complete, as shown by the table below.
Number of
Problems
Time to
Complete
(min)
6
24
13
52
20
80
27
108
34
136
If Autumn spent the same amount of time on each problem, how long did it take her to complete one math problem?
A. 4 minutes
B. 7 minutes
C. 11 minutes
D. 3 minutes
17.
A.
B.
C.
D.
18.
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The graph shows the population, p, of a town after t years have elapsed. What is the annual rate of growth in the
town?
A. 3,000 people per year
B. 2,500 people per year
C. 2,000 people per year
D. 3,500 people per year
19. Which statement describes the rate of change of the following function?
f(x) = -4x + 9
A. The function has a constant rate of change, increasing for all x at a rate of 9.
B. The function has a varying rate of change when x > 9.
C. The function has a varying rate of change when x < 4.
D. The function has a constant rate of change, decreasing for all x at a rate of 4.
20. Michael got a job peeling potatoes. In the first two hours of his shift, he peeled 48 potatoes. How many potatoes
can he peel in seven hours?
A. 7
B. 168
C. 336
D. 175
21. The amount left to be raised by a telethon, in dollars, after p pledges have been received is $50,000 - $30p.
Which statement is correct?
A. For every pledge received, the amount needed to be raised increases by $50,000.
B. For every pledge received, the amount needed to be raised decreases by $50,000.
C. For every pledge received, the amount needed to be raised increases by $30.
D. For every pledge received, the amount needed to be raised decreases by $30.
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22. Which statement describes the rate of change of the following function?
f(x) = 5x - 6
A. The function has a varying rate of change when x > 5.
B. The function has a constant rate of change, decreasing for all x at a rate of 6.
C. The function has a constant rate of change, increasing for all x at a rate of 5.
D. The function has a varying rate of change when x < 6.
23. A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
Number of
Pills
Price
50
$2.70
100
$5.40
150
$8.10
200
$10.80
250
$13.50
About how much does one vitamin cost?
A. $1.35
B. $0.03
C. $2.70
D. $0.05
24.
The graph above shows the amount Tina earns, w, before taxes after working h hours. How much does Tina make per
hour?
A. $8.00
B. $10.00
C. $9.00
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Preview Library Built Test (Printable Worksheet)
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D. $4.00
25.
A.
B.
C.
D.
1. A
2. B
3. D
4. B
5. C
6. D
7. D
8. B
9. A
10. D
11. B
12. B
13. B
14. C
15. C
16. A
17. A
18. B
19. D
20. B
21. D
22. C
23. D
24. A
25. C
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