Exponential Growth & Negative Exponents in Real Life

A population of bacteria doubles every hour. If you start with 100 bacteria, how many will there be after 5 hours? Use the property of exponents to express your answer.

• 1600

• 4000

• 3200

• 2400

A car depreciates in value by 20% each year. If the car's initial value is $20,000, what will its value be after 3 years? Use negative exponents to represent the depreciation.

• 8000

• 10240

• 16000

• 12000

A certain investment grows at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years? Use the properties of exponents to calculate the final amount.

• 1500.00

• 1628.89

• 1200.50

• 2000.00

A tree grows at a rate of 3 times its height every year. If the tree is currently 2 feet tall, how tall will it be after 4 years? Write your answer using exponents.

• 2 * 3^2

• 2 * 3^3

• 2 + 3^4

• 2 * 3^4

The half-life of a substance is 3 years. If you start with 80 grams, how much will remain after 9 years? Use negative exponents to express your answer.

• 40 grams

• 5 grams

• 20 grams

• 10 grams

A savings account earns interest compounded annually. If you deposit $500 at an interest rate of 4%, how much will you have after 5 years? Use the properties of exponents to find the total amount.

• 500.00

• 520.00

• 608.33

• 640.00

A certain species of fish in a lake triples in population every year. If there are currently 50 fish, how many will there be in 6 years? Use exponential growth to solve the problem.

• 10000

• 36450

• 5000

• 1500

A smartphone's battery lasts for 10 hours on a full charge. If the battery drains at a rate of 10% per hour, how much battery will be left after 4 hours? Use negative exponents to find your answer.

• 6 x 10^(-1)

• 7 x 10^(-1)

• 5 x 10^(-1)

• 4 x 10^(-1)

A viral video gets 1,000 views on the first day and the views double every day. How many views will it have after 7 days? Use properties of exponents to calculate the total views.

• 64000

• 32000

• 128000

• 256000

A scientist is studying a culture of cells that doubles in number every 30 minutes. If the initial number of cells is 200, how many cells will there be after 3 hours? Use the properties of exponents to express your answer.

• 12800

• 6400

• 4000

• 16000