Mastering Exponential Growth: Real-World Applications

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

• 8000

• 16000

• 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?

• $8,500

• $7,680

• $10,000

• $9,600

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

• 1200

• 1012

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

• 1500.00

• 1276.28

• 1000.00

• 1100.00

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

• 2.0 meters

• 2.662 meters

• 3.0 meters

• 2.5 meters

A virus spreads such that the number of infected people triples every week. If there are 10 infected people now, how many will there be in 4 weeks?

• 30

• 100

• 810

• 240

A certain investment grows exponentially, doubling every 5 years. If you invest $2,000, how much will it be worth after 15 years?

• $8,000

• $16,000

• $32,000

• $4,000

A certain species of fish in a lake increases its population by 25% each year. If there are currently 1,600 fish, how many will there be in 2 years?

• 1800

• 2000

• 2500

• 3000

A smartphone's battery life decreases by 15% each year. If the battery lasts 10 hours when new, how long will it last after 2 years?

• 7.225 hours

• 9.0 hours

• 6.0 hours

• 8.5 hours

A town's population is 10,000 and is growing at a rate of 8% per year. What will the population be in 5 years?

• 12000

• 14693

• 13500

• 15800