wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Exponential Word Problems Domain Range

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

a)

$12,800.00

b)

$13,629.44

c)

$17,600.00

d)

$28,098.56

2.

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

a)

4 people.

b)

22,972 people.

c)

1,169,030 people.

d)

1,188,311 people.

3.

Due to its weakening steel industry, Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming the trend continues, which equation projects the population in x years?

a)

y = 74,000 (0.10)x

b)

y = 74,000 (0.90)x

c)

y = 74,000 (1.10)x

d)

y = 74,000 (1.90)x

4.

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

a)

y = 30,010 (.05)x

b)

y = 30,010 (1.05)x

c)

y = 30,010 (.95)x

d)

y = 30,010 (5)x

5.

If the population of a city is 50,000 and grows at a continuous rate of 3% per year, what will be the population after 5 years?

a)

58,091

b)

55,000

c)

60,000

d)

50,000

6.

A population of fish starts at 8,000 and decreases by 6% per year. What is the domain of this function?

a)

0 ≤ x ≤ 1000

b)

0 ≤ x ≤ 146

c)

0 ≤ y ≤ 8000

d)

All Reals

7.

The equation Q = 12e-.09t is given to show the amount of an element remaining after t years. how long will it take for the element to reach 3 mg?

a)

4.5 years

b)

12.7 years

c)

2.7 years

d)

15.4 years

8.

What is the domain and range of the function y=2x ? Use the graph to help!

a)

Domain: All Real Numbers

Range: y>0

b)

Domain: All Real Numbers

Range: y>1

c)

Domain: [−2 ,∞)

Range: y>0

d)

Domain: (−∞ , ∞)
Range: y0y\ge0

9.

In Jack and the beanstalk, the beanstalk grows very rapidly. It began at a length of 3 ft and grew at a rate of 14% per minute Write the exponential function for this example

a)

y=6(0.14)x

b)

y=3(17)x

c)

y=3(1.14)x

d)

y=3(0.86)x

e)

y=6(1.04)x

10.

In Jack and the beanstalk, the beanstalk grows very rapidly. It began at a length of 3 ft and grew at a rate of 14% per minute


Write the exponential function for this example

a)

y=6(0.14)x

b)

y=3(17)x

c)

y=3(1.14)x

d)

y=3(0.86)x

e)

y=6(1.04)x

11.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)x

b)

f(x)=400(1-0.03)x

c)

f(x)=400(1+0.03)x

d)

f(x)=400(0.03)x

12.

What is the domain and range of the function y=2?
Use the graph to help!

a)

 Domain: All Real Numbers
Range: y>0

b)

Domain: All Real Numbers
Range: y>1

c)

Domain: −2<x<∞
Range: y>0

d)

Domain: 0<x<∞
Range: y>0

13.

What is the domain and range of the function y=2x ? Use the graph to help!

a)

Domain: All Real Numbers

Range: y>0

b)

Domain: All Real Numbers

Range: y>1

c)

Domain: [−2 ,∞)

Range: y>0

d)

Domain: (−∞ , ∞)
Range: y0y\ge0

14.

A city doubles its size every 64 years. If the population is currently 225,000, what will the population be in 128 years?

a)

The population will be 225,000.

b)

The population will be 450,000.

c)

The population will be 900,000.

d)

The population will be 1,800,000.

15.

You have 30,016 grams of radioactive kind of rubidium. How much will be left after 54 minutes if its half-life is 18 minutes?

a)

15,008 grams.

b)

7,504 grams

c)

3,752 grams.

d)

1,876 grams.

16.
a)

A

b)

B

c)

C

d)

D

17.
a)

A

b)

B

c)

C

d)

D

18.
a)

A

b)

B

c)

C

d)

D

19.
a)

A

b)

B

c)

C

d)

D

20.
a)

A

b)

B

c)

C

d)

D