Real-World Growth & Decay: Solve and Interpret Functions

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

• 100

• 800

• 400

• 200

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?

• $14,450

• $18,000

• $12,000

• $16,000

A bacteria culture starts with 200 bacteria and grows by 25% each hour. How many bacteria will there be after 4 hours?

• 489

• 350

• 600

• 400

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?

• 10 feet

• 6.5 feet

• 8.05 feet

• 7.25 feet

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

• 1300.75

• 1157.63

• 1100.50

• 1200.00

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

• 64 grams

• 40.96 grams

• 50 grams

• 32 grams

A car depreciates in value according to the function V(t) = 25000(0.85)^t, where t is the number of years. What will the value be after 4 years?

• 13050.16

• 15000.00

• 10000.75

• 20000.50

A population of fish in a lake decreases by 10% each year due to overfishing. If there are currently 1,000 fish, how many will be left after 3 years?

• 500

• 729

• 900

• 800

A tree's height can be modeled by the function H(t) = 3(1.1)^t, where t is the number of years. How tall will the tree be after 6 years?

• 5.31

• 3.75

• 4.25

• 6.10

A savings account has a balance of $500 and earns 4% interest compounded quarterly. How much will be in the account after 2 years?

• 550.25

• 541.43

• 600.00

• 500.00