wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Constant Rate of Change

Total questions: 30

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
2.
Solve the proportion.
a)
k=5
b)
k=45
c)
k=60
d)
k=90
3.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
4.
Write an equation for this situation.
a)
y = 9.75x
b)
y = 19x
c)
y = 19.25x
d)
y = 9.5x
5.

At what rate did the rain fall?

a)

2 cm per hour

b)

1/4 cm per hour

c)

1/2 cm per hour

d)

4 cm per hour

6.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

7.

Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.

a)

m = 50 + w

b)

w = 50m

c)

w = 50 + m

d)

m = 50 - w

8.

Which of the following ordered pairs are located along the line in the given graph?

a)

(80, 2)

b)

(2, 160)

c)

(6, 240)

d)

(4, 320)

9.

Choose the best explanation to represent the data in the graph.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

10.

Neo cycles 5 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips to work x and the total distance cycled y.

a)

y=5xy=5x

b)

y=x+5y=x+5

c)

x=5yx=5y

d)

x=y+5x=y+5

11.

Apeach knits 3 centimeters of scarf each night. Write an equation that shows the relationship between the nights x and the length knit y.

a)

y=x+3y=x+3

b)

y=x3y=x-3

c)

y=3xy=3x

d)

y=x3y=\frac{x}{3}

12.

The graph shows the cost of renting a moving truck, y, depending on the number of miles, x, the truck is driven.


What is the rate of change of the cost with respect to the number of miles driven?

a)

The daily fee of renting the truck is $40.00.

b)

The cost per mile to rent a truck is $0.50.

c)

The maximum amount of miles the truck can be driven is 24.5.

d)

The cost of renting a truck cannot exceed $53.00.

13.

Frodo runs 3 miles during each track practice. Write an equation that shows the relationship between the practices x and the distance y.

a)

y=x+3y=x+3

b)

y=x3y=\frac{x}{3}

c)

y=3xy=\frac{3}{x}

d)

y=3xy=3x

14.
What is the algebraic equation for this table?
a)
y = 480x
b)
x = y/480
c)
x + 480 = y
d)
480 - x = y
15.
a)
8
b)
9
c)
72
d)
12
16.
a)
14
b)
7
c)
2
d)
112
17.
a)
48
b)
120
c)
2.5
d)
15
18.

A jug of orange juice contains 40.75 fluid ounces. It is shared equally among 5 people. How many ounces of orange juice does each person receive?

a)

81.45

b)

203.75

c)

20.75

d)

8.15

19.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
20.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
21.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality? 
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
22.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)
b)
c)
d)
23.

John drives 54 miles in 9 days. What is his unit rate?

a)

5 mi/ 1 day

b)

4 mi/ 1 day

c)

6 mi/ 1 day

d)

9 mi/ 1 day

24.

Which operation do you use to solve for unit rate?

a)

Multiplication

b)

Division

c)

Addition

d)

Subtraction

25.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

26.

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon?

a)

31 mpg

b)

17 mpg

c)

51 mpg

d)

15 mpg

27.
It snowed 14 inches in 5 hours. What is the unit rate?
a)
3 inches
b)
1.5 inches
c)
5 inches
d)
2.8 inches
28.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
29.

Find the unit rate - $11.49 for 3 packages

a)

$3.85 per package

b)

$3.83 per package

c)

$3.88 per package

30.

Find the unit rate - 13 apples for 2 pies

a)

6 apples per pie

b)

6.25 apples per pie

c)

6.5 apples per pie