Mastering Exponential Growth and Decay 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

• 200

• 400

• 800

A bacteria culture decreases by 25% every hour. If there are 200 bacteria at the start, how many will remain after 4 hours?

• 100

• 63

• 50

• 150

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

• $18,000

• $14,450

• $12,000

• $16,000

A tree grows at a rate of 10% per year. If it is currently 5 feet tall, how tall will it be in 5 years?

• 6.5 feet

• 7.25 feet

• 10 feet

• 8.05 feet

A bank account earns 5% interest compounded annually. If you deposit $1,000, how much will you have after 3 years?

• 1100.50

• 1200.00

• 1300.75

• 1157.63

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

• 10 grams

• 40 grams

• 20 grams

A smartphone loses 20% of its value each year. If it was purchased for $800, what will its value be after 3 years?

• $720.00

• $512.00

• $409.60

• $640.00

A population of fish in a lake increases by 30% each year. If there are currently 200 fish, how many will there be in 2 years?

• 300

• 338

• 400

• 250

A tree's height is reduced by 10% each year due to disease. If it is currently 40 feet tall, what will its height be after 2 years?

• 32.4 feet

• 40 feet

• 28 feet

• 36 feet

A savings account has an initial balance of $500 and earns 4% interest compounded annually. How much will be in the account after 5 years?

• 608.33

• 640.00

• 500.00

• 550.00