Exploring Exponential Growth and Decay Rates in Real Life

A population of rabbits doubles every year. If there are currently 50 rabbits, how many will there be in 3 years?

• 100

• 800

• 200

• 400

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 2 years?

• $18,000

• $14,450

• $12,000

• $16,000

A bacteria culture grows exponentially. If it starts with 200 bacteria and grows by 25% each hour, how many bacteria will there be after 4 hours?

• 400

• 600

• 350

• 488

A tree's height increases by 10% each year. If it is currently 5 meters tall, what will its height be in 5 years?

• 9.0 meters

• 8.05 meters

• 7.2 meters

• 6.5 meters

A certain investment grows at a rate of 8% per year. If you invest $1,000, how much will it be worth after 3 years?

• 1100.00

• 1259.71

• 1500.00

• 1350.00

A radioactive substance decays at a rate of 5% per hour. If you start with 100 grams, how much will remain after 6 hours?

• 60 grams

• 85 grams

• 73.51 grams

• 50 grams

A population of fish in a lake decreases by 20% each year due to overfishing. If there are currently 1,000 fish, how many will be left after 2 years?

• 500

• 720

• 640

• 800

A savings account earns 6% interest compounded annually. If you deposit $500, how much will you have in the account after 4 years?

• 500.00

• 631.24

• 700.00

• 600.00

A certain species of plant grows at a rate of 15% per month. If you start with 30 plants, how many will you have after 6 months?

• 45

• 90

• 120

• 69

A smartphone's battery life decreases by 10% each year. If the battery lasts 24 hours when new, how long will it last after 3 years?

• 20 hours

• 15 hours

• 17.496 hours

• 12 hours