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Exploring Exponential Growth: Equations & Applications

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A population of rabbits doubles every year. If there are currently 50 rabbits, how many will there be in 5 years? Write an exponential equation to represent this situation.

a)

1600

b)

400

c)

1000

d)

800

2.

A bacteria culture grows by 30% each hour. If you start with 200 bacteria, how many will there be after 4 hours? Write the exponential equation and calculate the result.

a)

1000

b)

400

c)

800

d)

571

3.

A tree grows 15% taller each year. If the tree is currently 10 feet tall, how tall will it be in 3 years? Write the exponential equation and find the height.

a)

12.5 feet

b)

20 feet

c)

18.75 feet

d)

15.21 feet

4.

A car's value depreciates by 20% each year. If the car is worth $15,000 now, what will its value be in 4 years? Write the exponential equation and solve for the value.

a)

$10,500.00

b)

$4,500.00

c)

$8,000.00

d)

$6,144.00

5.

A savings account earns 5% interest compounded annually. If you deposit $1,000, how much will you have in 6 years? Write the exponential equation and calculate the total amount.

a)

$1,200.00

b)

$1,340.10

c)

$1,100.50

d)

$1,500.00

6.

A certain species of fish in a lake increases its population by 25% each year. If there are currently 400 fish, how many will there be in 2 years? Write the exponential equation and find the population.

a)

1000

b)

625

c)

500

d)

800

7.

A smartphone's battery life decreases by 10% each year. If the battery lasts 24 hours now, how long will it last in 3 years? Write the exponential equation and calculate the remaining battery life.

a)

17.54 hours

b)

15 hours

c)

20 hours

d)

10 hours

8.

A viral video on a social media platform gains 50% more views each day. If it starts with 1,000 views, how many views will it have after 5 days? Write the exponential equation and determine the total views.

a)

5000

b)

7594

c)

12000

d)

3000

9.

A town's population is 10,000 and is growing at a rate of 4% per year. What will the population be in 10 years? Write the exponential equation and calculate the future population.

a)

12000

b)

14802

c)

16000

d)

13500

10.

A plant grows at a rate of 12% per month. If it is currently 5 inches tall, how tall will it be in 6 months? Write the exponential equation and find the height of the plant.

a)

9.87 inches

b)

8.25 inches

c)

12.00 inches

d)

10.50 inches