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Exploring Exponential Growth & Compound Interest Problems

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 3 years?

a)

800

b)

100

c)

400

d)

200

2.

A bank offers a savings account with an annual interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 4 years?

a)

1500.00

b)

1300.00

c)

1100.00

d)

1215.51

3.

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 2 years?

a)

$9,600

b)

$8,000

c)

$10,800

d)

$12,000

4.

A bacteria culture grows exponentially. If there are 200 bacteria now and the number triples every hour, how many bacteria will there be after 3 hours?

a)

1200

b)

600

c)

5400

d)

1800

5.

You invest $2,500 in a fund that earns 6% interest compounded annually. How much will you have after 5 years?

a)

2500.00

b)

4000.00

c)

3000.00

d)

3345.56

6.

A tree grows at a rate of 10% per year. If it is currently 4 feet tall, how tall will it be in 2 years?

a)

5.00 feet

b)

4.20 feet

c)

4.84 feet

d)

6.00 feet

7.

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $800 at an interest rate of 4% for 3 years, what will be the total amount?

a)

$899.89

b)

$850.00

c)

$920.00

d)

$780.00

8.

A town's population is 10,000 and is increasing by 8% each year. What will the population be in 5 years?

a)

13500

b)

15800

c)

14693

d)

12000

9.

If you have a loan of $5,000 with an interest rate of 7% compounded annually, how much will you owe after 3 years?

a)

$5,500.00

b)

$6,125.22

c)

$6,250.00

d)

$6,000.00

10.

A certain species of fish in a lake grows exponentially. If there are currently 1,000 fish and the population doubles every 6 months, how many fish will there be in 2 years?

a)

16000

b)

4000

c)

8000

d)

20000