Mastering Exponential Growth: Graphs & Properties

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

• 10000

• 4000

• 8000

• 2000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be in 5 years? Use properties of exponents to find the answer.

• $3,000

• 4915.20

• $10,000

• $7,500

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much will you have after 10 years? Graph the exponential growth of your investment.

• $1,628.89

• $1,200.00

• $2,000.00

• $1,500.50

The half-life of a certain radioactive substance is 10 years. If you start with 80 grams, how much will remain after 30 years? Apply the properties of exponents to solve this problem.

• 20 grams

• 5 grams

• 10 grams

• 40 grams

A certain species of fish in a lake is known to triple in population every year. If there are currently 200 fish, how many will there be in 4 years? Graph the population growth.

• 10000

• 800

• 16200

• 4000

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 10% every hour, what will the battery percentage be after 5 hours? Use properties of exponents to calculate.

• 45%

• 70%

• 59.05%

• 80%

A tree grows at a rate of 15% per year. If it is currently 2 meters tall, what will its height be after 3 years? Graph the height of the tree over time.

• 4.00 meters

• 2.50 meters

• 1.80 meters

• 3.04 meters

A viral video on social media gains views exponentially. If it starts with 1,000 views and doubles every day, how many views will it have after 7 days? Apply properties of exponents to find the answer.

• 256000

• 512000

• 128000

• 64000

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 6% for 5 years, how much will you have? Graph the growth of your investment over time.

• $2,676.45

• $2,100.00

• $3,000.00

• $2,500.00

A certain type of mold grows exponentially. If it starts with 50 spores and doubles every hour, how many spores will there be after 6 hours? Use properties of exponents to solve this problem.

• 1600

• 3200

• 4000

• 800