Applying Exponential Models to Real-World Growth Scenarios

A bacteria culture doubles in size every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

• 4000

• 8000

• 1000

• 16000

A car's value depreciates by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years?

• $8,500

• $10,000

• $9,600

• $7,680

A population of rabbits increases by 50% every year. If there are 200 rabbits now, how many will there be in 4 years?

• 600

• 800

• 1012

• 400

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 5 years?

• 1276.28

• 1000.00

• 1500.00

• 1150.00

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, how tall will it be after 3 years?

• 3.0 meters

• 2.5 meters

• 2.0 meters

• 2.662 meters

A viral video is shared by 100 people, and each person shares it with 3 more people. If this pattern continues, how many views will the video have after 4 rounds of sharing?

• 10100

• 1000

• 10000

• 3000

A certain species of fish in a lake doubles its population every year. If there are currently 1,000 fish, how many will there be in 5 years?

• 5000

• 10000

• 32000

• 64000

A smartphone's battery life decreases by 15% each year. If the battery lasts 24 hours when new, how long will it last after 2 years?

• 15 hours

• 17.34 hours

• 20 hours

• 10 hours

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?

• 14802

• 16000

• 13500

• 12000

A savings account earns 6% interest compounded monthly. If you start with $2,000, how much will you have after 2 years?

• 2100.00

• 2400.50

• 2254.98

• 2005.75