Free Printable Exponential Functions Application Problems

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Exponential Functions Application Problems

Total questions: 18

Worksheet time: 1hrs 10mins

Name

Class

Date

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Growth

Decay

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

You invest $400 for 5 years and the interest rate is 4.29% each year. Write the equation that models this situation.

y=400(1 - 0.0429)⁵

y=400(1+.0429)⁵

y=400(1+ 4.29)⁵

y=400e^0.049*5

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

y=8(15,000)^x

y=15,000(1 + .08)^x

y=15,000(1 - .08)^x

y=15,000(0.08)^x

y= 25,000(1.5)^xis the equation given. What is the percent rate?

1.5%

50%

150%

Ava is playing a video game in which she establishes and builds up a city. The population of this city is currently 190,000 people, a number that increases by 15% every year. What will the population be in 9 years?

666,666

666,936

668,396

668,369

What is the balance of a $4500 bond that earns 6.5% interest when compounded annually after 3 years?

$5435.77

$5400

$5377.50

$5300

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

356 people

265 people

5825 people

1329 people

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

9784 mosquitoes

9006 mosquitoes

9765 mosquitoes

5433 mosquitoes

10.

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

$12712.31

$12,749.30

$12,657.59

$12550.84

11.

Emily's parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semi-annually, what will be the balance after 18 years?

$6,273.50

$6,314.08

$6,385.72

$6,427.94

12.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, in how many years will she have paid off $15,683.28?

13.

There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every half hour, what will the population be 3 hours from now?

y = 10,000 ( 2 ) ^x

80, 000 bacteria

y = 10,000 ( 2 ) ^x

640, 000 bacteria

y = 3 ( 2 ) ^x

24 bacteria

y = 10,000 ( .2 ) ^x

80 bacteria

14.

Does the following equation represent exponential growth or decay? Explain.

y = 5 ( 0.3) ^x

Decay because 0 < 0.3 < 1

Decay because 0.3 < 1

Growth because 5 >1

Neither

15.

Identify the initial value:

y = 6.87 (4)^x

a = 4

a = 6.87

a = 3

a = 1

16.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. In how many years will the printer be worth $23,219.72?

17.

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. In how many years will the amount in the account reach $4440.73?

18.

James has 70 inches giant peach tree that doubles in size every week. Write a function that models how big the peach tree after 3 months.

y = 70(2)⁵

y = 70(2)¹²

y = 2(70)²

70 = a (2)¹²

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Exponential Functions Application Problems

Total questions: 18

Worksheet time: 1hrs 10mins

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