Exponential Growth & Decay: Fun with Rates and Functions

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

• 800

• 100

• 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?

• $16,000

• $12,000

• $14,450

• $18,000

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

• 488

• 350

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

• 9.0 feet

• 8.05 feet

• 6.5 feet

• 7.2 feet

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

• 1100.50

• 1200.00

• 1157.63

• 1050.25

A radioactive substance decays at a rate of 20% per hour. If you start with 80 grams, how much will remain after 3 hours?

• 40.96 grams

• 50 grams

• 64 grams

• 32 grams

A certain species of fish in a lake increases in population by 30% each year. If there are currently 1,000 fish, how many will there be in 2 years?

• 1500

• 2000

• 1690

• 1200

A savings account has a balance of $500 and earns 4% interest compounded annually. What will the balance be after 4 years?

• $500.00

• $584.93

• $600.00

• $550.00

A certain type of mold grows at a rate of 50% every day. If you start with 10 grams, how much will you have after 3 days?

• 60 grams

• 33.75 grams

• 20 grams

• 40 grams

A tree loses 10% of its leaves each autumn. If it has 1,200 leaves at the start of autumn, how many leaves will it have left after one autumn?

• 1080

• 1000

• 1200

• 900