Name: _________________________________________
Constant of Proportionality TEST REVIEW
Matching:
Match the term with the following situation:
A. Constant of Proportionality
B. Unit rate
C. Direct Variation
D. Rate
E. Origin

A rate that is simplified so that it has a denominator of 1 unit is called a _________________________.

A ratio that compares two quantities with different kinds of units is called a _______________________.

The variable “k” represents the __________________________.

A relationship is a __________________________ when the ratio of

Proportional relationships intersect the _____________________________ on a graph.
= k.
1. Lucy can run at a rate of 75 miles per hour when she’s chasing squirrels. How many miles can she run in a minute?
2. The recipe for an omelet says that 5 eggs make 2 servings. How many eggs are required to make servings? Label
eggs as variable y, and servings as variable x.
3. How many calories are there in one serving if there are 2,555 Calories in 7 servings?
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Name: _________________________________________
4. Rachel walks dogs on the weekends. If the equation y = 9x represents the amount of money she earns, what is the
constant of proportionality?
5. A remote control car travels at a rate of 15 feet per second. How many inches per second is this?
6. 6 ft/day = _________ in/day (HINT:
6 ft.
1 day
=
? in.
1 day.
)
7. At 3 p.m. there were 15 frogs in a pond, and then at 7 p.m. there were 43 frogs. What is the constant rate of
change?
8. Benny is depositing money into his bank account. After 3 months, there is $85. After 8 months, there is $310.
Determine the constant rate of change in his bank account.
9. Determine the constant rate of change:
10. Determine the constant rate of change:
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Name: _________________________________________
Determine the constant rate of change for # 11-12
11.
12.
13. JoAnne is depositing money into a bank account. After 3 months there is $150 in the account. After 6 months,
there is $300 in the account. Determine the constant rate of change of the account.
14. Jean has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the
amount of money in her account proportional to the number of weeks?
15. Fun Center rents popcorn machines for $20 per hour. In addition to the hourly charge, there is a rental fee of $32.
Is the number of hours you rent the popcorn machine proportional to the total cost?
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Name: _________________________________________
16. A photo developer charges $0.25 per photo developed. Is the total cost proportional to the number of photos
developed? Explain your answer.
17. The temperature at noon was 88°F. By 4 P.M., the temperature was 72°F. Determine the constant rate of change
of the temperature.
For Exercises 18-19 use the table of values. Write proportional or nonproportional.
18.
Number of Hours
Total Amount Earned
19.
Number of Hours
Number of Pages Read in Book
1
$0.99
2
$1.98
1
37
2
73
3
$2.97
4
$3.96
3
109
20. Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours.
Determine whether the number of cakes baked is proportional to the number of
hours using the graph on the right.
4
4
145