Exploring Exponential Growth: Equations & Applications

A population of rabbits doubles every year. If there are currently 50 rabbits, how many will there be in 5 years? Write an exponential equation to represent this situation.

• 1600

• 400

• 1000

• 800

A bacteria culture grows by 30% each hour. If you start with 200 bacteria, how many will there be after 4 hours? Write the exponential equation and calculate the result.

• 1000

• 400

• 800

• 571

A tree grows 15% taller each year. If the tree is currently 10 feet tall, how tall will it be in 3 years? Write the exponential equation and find the height.

• 12.5 feet

• 20 feet

• 18.75 feet

• 15.21 feet

A car's value depreciates by 20% each year. If the car is worth $15,000 now, what will its value be in 4 years? Write the exponential equation and solve for the value.

• $10,500.00

• $4,500.00

• $8,000.00

• $6,144.00

A savings account earns 5% interest compounded annually. If you deposit $1,000, how much will you have in 6 years? Write the exponential equation and calculate the total amount.

• $1,200.00

• $1,340.10

• $1,100.50

• $1,500.00

A certain species of fish in a lake increases its population by 25% each year. If there are currently 400 fish, how many will there be in 2 years? Write the exponential equation and find the population.

• 1000

• 625

• 500

• 800

A smartphone's battery life decreases by 10% each year. If the battery lasts 24 hours now, how long will it last in 3 years? Write the exponential equation and calculate the remaining battery life.

• 17.54 hours

• 15 hours

• 20 hours

• 10 hours

A viral video on a social media platform gains 50% more views each day. If it starts with 1,000 views, how many views will it have after 5 days? Write the exponential equation and determine the total views.

• 5000

• 7594

• 12000

• 3000

A town's population is 10,000 and is growing at a rate of 4% per year. What will the population be in 10 years? Write the exponential equation and calculate the future population.

• 12000

• 14802

• 16000

• 13500

A plant grows at a rate of 12% per month. If it is currently 5 inches tall, how tall will it be in 6 months? Write the exponential equation and find the height of the plant.

• 9.87 inches

• 8.25 inches

• 12.00 inches

• 10.50 inches