Applying Exponential Models to Real-World Problems

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

• 6000

• 8000

• 4000

• 10000

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

• $10,000

• $12,000

• $5,000

• $7,680

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

• $1,000.00

• $1,200.00

• $1,276.28

• $1,500.00

A certain species of fish in a lake grows at a rate of 10% per year. If there are currently 200 fish, how many will there be in 4 years?

• 250

• 320

• 180

• 293

A tree grows at a rate of 15% per year. If the tree is currently 2 meters tall, what will its height be after 3 years?

• 3.75 meters

• 3.04 meters

• 4.50 meters

• 2.30 meters

A certain type of investment grows exponentially. If you invest $2,000 and it grows to $3,200 in 4 years, what is the annual growth rate?

• 10%

• 15%

• 12.94%

• 8.5%

A virus spreads such that the number of infected individuals triples every week. If there are 10 infected individuals now, how many will there be in 5 weeks?

• 1000

• 729

• 1500

• 2430

A town's population is 10,000 and is expected to grow at a rate of 8% per year. What will the population be in 2 years?

• 11664

• 10500

• 11000

• 12000

A smartphone's battery life decreases by 25% every year. If the battery lasts 12 hours when new, how long will it last after 2 years?

• 8 hours

• 10 hours

• 5 hours

• 6.75 hours

A savings account has a balance of $5,000 and earns 6% interest compounded monthly. How much will be in the account after 3 years?

• $6,500.00

• $4,500.00

• $5,983.40

• $5,200.00