Real-World Exponential Growth & Decay Scenarios

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

• 16000

• 8000

• 4000

• 1000

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

• $5,000

• $12,000

• $7,680

• $10,000

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

• 800

• 600

• 1012

• 1200

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much 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 it is currently 3 meters tall, how tall will it be in 3 years?

• 5.1 meters

• 2.7 meters

• 3.993 meters

• 4.5 meters

A virus spreads such that the number of infected people doubles every week. If there are 100 infected people now, how many will there be in 5 weeks?

• 6400

• 800

• 1600

• 3200

A certain investment grows exponentially at a rate of 8% per year. If you invest $2,000, how much will it be worth after 10 years?

• 3500.00

• 4317.84

• 4000.00

• 5000.00

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 6 years?

• 64000

• 128000

• 8000

• 32000

A smartphone's battery life decreases by 15% each year. If the battery lasts 10 hours when new, how long will it last after 4 years?

• 5.22 hours

• 7.1 hours

• 4.8 hours

• 6.5 hours

A town's population is 10,000 and is growing at a rate of 3% per year. What will the population be in 5 years?

• 10500

• 12000

• 11000

• 11593