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Exploring Exponential Growth and Decay in Real Life

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours? Graph the function that represents this growth.

a)

2000

b)

4000

c)

8000

d)

10000

2.

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years? Create a graph to show the decay of the car's value over time.

a)

$12,500.00

b)

$10,440.12

c)

$15,000.00

d)

$8,000.00

3.

A radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 years? Illustrate this decay on a graph.

a)

40 grams

b)

5 grams

c)

20 grams

d)

10 grams

4.

The number of users on a social media platform increases by 25% each month. If there are currently 1,200 users, how many users will there be in 6 months? Graph the growth of users over this period.

a)

3000

b)

2400

c)

4500

d)

3663

5.

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be in 10 years? Create a graph to represent the height of the tree over time.

a)

Approximately 16.29 feet

b)

Approximately 14.75 feet

c)

Approximately 20.00 feet

d)

Approximately 12.50 feet

6.

A certain species of fish in a lake is decreasing at a rate of 10% per year. If there are currently 1,500 fish, how many will be left after 5 years? Graph the decay of the fish population.

a)

600

b)

885

c)

1000

d)

1200

7.

A savings account earns 6% interest compounded annually. If you deposit $2,000, how much will you have after 3 years? Plot the growth of your savings over this time period.

a)

$2,100.50

b)

$2,000.00

c)

$2,500.00

d)

$2,382.03

8.

A certain type of mold grows exponentially, doubling in size every 2 days. If you start with 100 grams, how much will you have after 10 days? Graph the growth of the mold over this time.

a)

12800 grams

b)

3200 grams

c)

400 grams

d)

6400 grams

9.

A loan of $5,000 has an interest rate of 12% compounded annually. How much will you owe after 3 years? Create a graph to show the growth of the loan amount over time.

a)

$6,500.00

b)

$5,600.00

c)

$8,000.00

d)

$7,024.64