Exploring Exponential Growth and Decay in Real Life

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 9 hours?

• 3000

• 2000

• 1000

• 4000

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?

• $12,000

• $16,000

• $18,000

• $14,450

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

• 1350.50

• 1580.75

• 1469.33

• 1200.00

A radioactive substance decays at a rate of 5% per year. If you start with 200 grams, how much will remain after 3 years?

• 180 grams

• 150 grams

• 171.48 grams

• 200 grams

A tree grows at a rate of 10% per year. If it is currently 4 meters tall, what will its height be after 4 years?

• 7.20 meters

• 4.80 meters

• 6.40 meters

• 5.86 meters

A certain species of fish in a lake is decreasing in number by 20% each year. If there are currently 1,000 fish, how many will be left after 3 years?

• 800

• 640

• 512

• 400

A savings account earns 6% interest compounded annually. If you deposit $500, how much will you have in the account after 10 years?

• $750.00

• $895.42

• $1,000.00

• $600.00

A certain type of mold grows exponentially, increasing by 50% every day. If you start with 10 grams, how much will you have after 4 days?

• 25 grams

• 100 grams

• 30 grams

• 50.625 grams

A car depreciates in value by 12% each year. If the car was purchased for $25,000, what will its value be after 3 years?

• $15,000

• $18,500

• $17,036.80

• $20,000

A population of rabbits increases by 25% each year. If there are currently 200 rabbits, how many will there be after 2 years?

• 250

• 400

• 300

• 313