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Applying Exponential Models to Real-World Growth Scenarios

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A bacteria culture doubles in size every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

a)

4000

b)

8000

c)

1000

d)

16000

2.

A car's value depreciates by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years?

a)

$8,500

b)

$10,000

c)

$9,600

d)

$7,680

3.

A population of rabbits increases by 50% every year. If there are 200 rabbits now, how many will there be in 4 years?

a)

600

b)

800

c)

1012

d)

400

4.

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 5 years?

a)

1276.28

b)

1000.00

c)

1500.00

d)

1150.00

5.

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, how tall will it be after 3 years?

a)

3.0 meters

b)

2.5 meters

c)

2.0 meters

d)

2.662 meters

6.

A viral video is shared by 100 people, and each person shares it with 3 more people. If this pattern continues, how many views will the video have after 4 rounds of sharing?

a)

10100

b)

1000

c)

10000

d)

3000

7.

A certain species of fish in a lake doubles its population every year. If there are currently 1,000 fish, how many will there be in 5 years?

a)

5000

b)

10000

c)

32000

d)

64000

8.

A smartphone's battery life decreases by 15% each year. If the battery lasts 24 hours when new, how long will it last after 2 years?

a)

15 hours

b)

17.34 hours

c)

20 hours

d)

10 hours

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?

a)

14802

b)

16000

c)

13500

d)

12000

10.

A savings account earns 6% interest compounded monthly. If you start with $2,000, how much will you have after 2 years?

a)

2100.00

b)

2400.50

c)

2254.98

d)

2005.75