Applying Exponential Models: Real-World Scenarios Quiz

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 9 hours?

• 2000

• 4000

• 1000

• 3000

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

• $7,680

• $5,000

• $12,000

• $10,000

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

• 1276.28

• 1200.00

• 1000.00

• 1500.50

A certain species of fish in a lake grows exponentially. If the population is currently 200 and grows by 50% each year, what will the population be in 2 years?

• 600

• 450

• 300

• 400

A certain radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 years?

• 5 grams

• 40 grams

• 20 grams

• 10 grams

A tree grows at a rate of 10% per year. If it is currently 4 feet tall, how tall will it be after 4 years?

• 6.40 feet

• 5.86 feet

• 7.20 feet

• 4.80 feet

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 2 full charge cycles if it loses 25% of its life each cycle?

• 15 hours

• 20 hours

• 13.5 hours

• 18 hours

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

• 12000

• 15800

• 13500

• 14693

A certain investment grows exponentially at a rate of 6% per year. If you invest $2,000, how much will it be worth after 10 years?

• 3581.69

• 4000.00

• 2500.00

• 3000.50

A viral video is shared exponentially. If it starts with 100 views and doubles every day, how many views will it have after 7 days?

• 3200

• 6400

• 25600

• 12800