wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Linear and Exponential Relationships

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Which word describes the relationship shown in the table?

a)

Linear

b)

Exponential

c)

Proportional

d)

Nonlinear

2.

What is the rate of change shown in the table?

a)

3

b)

4

c)

7

d)

10

3.

Which equation matches the relationship between t and A(t)?

a)

A(t) = 3t + 4A\left(t\right)\ =\ 3t\ +\ 4

b)

A(t) = 4t + 3A\left(t\right)\ =\ 4t\ +\ 3

c)

A(t) = 3tA\left(t\right)\ =\ 3t

d)

A(t) = 43tA\left(t\right)\ =\ 4\cdot3^t

4.

The table shows the population growth over t years. Which equation shows the relationship between the number of years and the population.

a)

A(t) = 40,000 + 10,000tA\left(t\right)\ =\ 40,000\ +\ 10,000t

b)

A(t) = 40,000 1.25tA\left(t\right)\ =\ 40,000\ \cdot1.25^t

c)

A(t) = 40,000 + 1.25tA\left(t\right)\ =\ 40,000\ +\ 1.25^t

d)

A(t) = 40,000tA\left(t\right)\ =\ 40,000^t

5.

Which word(s) best describes the relationship shown in the table?

a)

exponential and nonlinear

b)

linear and proportional

c)

linear

d)

none of the above

6.

Which word describes the relationship in the table?

a)

Linear

b)

Nonlinear and exponential

c)

Proportional and Linear

d)

None of the above

7.

Which equations describes the relationship months and dollars? d = dollars and m= months

a)

 d = 50 + 250md\ =\ 50\ +\ 250m  

b)

 d = 50 6md\ =\ 50\ \cdot6^m  

c)

 d = 50 + 6md\ =\ 50\ +\ 6^m  

d)

 d = 6md\ =\ 6^m  

8.

Which word(s) best describe the graph?

a)

Linear

b)

Nonlinear

c)

Proportional

d)

Nonlinear and exponential

9.

Which describes what is happening to Amazon's stock?

a)

The stock price starts at $50 and quadruples each year.

b)

The stock price starts at $50 and adds by $150 each year

c)

The stock price is increasing at a constant rate of $250 per year.

d)

The stock price is staying the same each year.

10.

Which equation best describes what is happening to Amazon's stock?  y = number of years

a)

 Stock = 50  4yStock\ =\ 50\ \cdot\ 4^y  

b)

 Stock = 50 + 4yStock\ =\ 50\ +\ 4y  

c)

 Stock = 50 + 250yStock\ =\ 50\ +\ 250y  

d)

 Stock = 50 + 4yStock\ =\ 50\ +\ 4^y  

11.

The table shows the number of dollars that Zion has saved. Which equation describes the relationship between months (m) and dollars (d)?

a)

d = 6m + 50d\ =\ 6m\ +\ 50

b)

d = 50m + 6d\ =\ 50m\ +\ 6

c)

d = m + 6d\ =\ m\ +\ 6

d)

d = 50 + 6md\ =\ 50\ +\ 6^m

12.

Which word(s) describes the graph?

a)

Linear

b)

Linear and Proportional

c)

Exponential

d)

Nonlinear

13.

What the is the rate of change in the graph?

a)

20 guests per hour

b)

40 guests per hour

c)

50 guests per hour

d)

70 guests per hour

14.

Which equation can be used to determine the number of guests (g) depending on the time in hours (t)?

a)

g = 20t + 50g\ =\ 20t\ +\ 50

b)

g = 40t + 50g\ =\ 40t\ +\ 50

c)

g = 50t + 40g\ =\ 50t\ +\ 40

d)

g = 50t + 20g\ =\ 50t\ +\ 20

15.

The graph below shows the number of guests at an all day concert.  If the pattern continues, how many guests will be there at the 9th hour?

a)

230 guests

b)

190 guests

c)

450 guest

d)

210 guest