Mastering Growth and Decay in Exponential Functions

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

• 4000

• 8000

• 10000

• 2000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

• $8,500.00

• $10,440.12

• $15,000.00

• $12,000.00

A certain investment grows at an annual rate of 8%. If you invest $1,000, how much will it be worth after 5 years?

• 1200.00

• 1000.00

• 1469.33

• 2000.00

A radioactive substance decays at a rate of 5% per year. If you start with 200 grams, how much will remain after 10 years?

• 80 grams

• 150 grams

• 119.75 grams

• 200 grams

A tree grows at a rate of 10% per year. If its current height is 2 meters, what will its height be after 3 years?

• 2.662 meters

• 3.0 meters

• 2.5 meters

• 2.0 meters

A bank account earns 6% interest compounded annually. If you deposit $1,500, how much will you have in the account after 3 years?

• 1500.00

• 1786.52

• 1800.00

• 1750.25

A certain species of fish in a lake is decreasing by 20% each year due to pollution. If there are currently 1,000 fish, how many will be left after 2 years?

• 800

• 500

• 640

• 720

A new technology is adopted by 30% of the population each year. If 1,000 people use it in the first year, how many will use it after 3 years?

• 1000

• 1300

• 1690

• 2000

A tree's height is measured at 5 meters and it grows at a rate of 12% per year. What will its height be after 2 years?

• 5.00 meters

• 6.27 meters

• 7.20 meters

• 8.50 meters

A certain type of mold grows at a rate of 25% per day. If you start with 10 grams, how much will you have after 4 days?

• 19.53 grams

• 10 grams

• 30 grams

• 15 grams