Exploring Exponential Growth & Decay: Graphs & Equations

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

• 8000

• 6000

• 4000

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

• 4915.20

• 8000

• 12000

• 3000

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

• $2,000.00

• $1,200.00

• $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 find the answer.

• 40 grams

• 10 grams

• 20 grams

• 5 grams

A tree grows at a rate of 1.5 times its height every year. If the tree is 2 meters tall now, how tall will it be in 4 years? Graph the growth of the tree over time.

• 8.25 meters

• 10.125 meters

• 5.5 meters

• 12.75 meters

A certain species of fish in a lake triples in population every year. If there are currently 200 fish, how many will there be in 3 years? Use an exponential function to model this situation.

• 5400

• 800

• 1200

• 600

A smartphone's battery life decreases by 15% each year. If the battery lasts 24 hours when new, how long will it last after 4 years? Apply properties of exponents to find the answer.

• 20 hours

• 15 hours

• 12.53 hours

• 10 hours

A savings account has an initial deposit of $500 and earns 6% interest compounded monthly. How much will be in the account after 2 years? Graph the growth of the account balance over time.

• $575.25

• $550.50

• $600.00

• $563.74

A viral video is shared by 100 people and each person shares it with 4 others. How many views will the video have after 3 rounds of sharing? Use an exponential model to calculate the views.

• 5000

• 6400

• 8100

• 4000

A certain type of investment grows at a rate of 8% per year. If you invest $2,000, how much will it be worth after 5 years? Graph the exponential growth of your investment.

• $2,938.66

• $2,500.00

• $3,200.00

• $1,800.00