Mastering Exponential Growth and Decay in Real Scenarios

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

• 2000

• 1000

• 8000

• 4000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years?

• $7,680

• $5,000

• $12,000

• $10,000

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

• 1276.28

• 1150.00

• 1500.00

• 1000.00

The half-life of a radioactive substance is 10 years. If you start with 80 grams, how much will remain after 30 years?

• 5 grams

• 20 grams

• 10 grams

• 40 grams

A tree grows at a rate of 10% per year. If it is currently 2 meters tall, what will its height be after 4 years?

• 3.20 meters

• 2.50 meters

• 2.93 meters

• 4.00 meters

A certain type of bacteria decreases in number by 30% every hour. If you start with 1,000 bacteria, how many will remain after 2 hours?

• 800

• 490

• 600

• 700

A savings account earns 4% interest compounded annually. If you deposit $2,000, how much will you have in the account after 3 years?

• $2,000.00

• $2,249.73

• $2,500.00

• $2,080.00

The population of a town is decreasing by 5% each year. If the current population is 20,000, what will the population be in 4 years?

• 20000

• 18000

• 16291

• 15000

A loan of $5,000 is taken out with an interest rate of 6% compounded annually. How much will be owed after 2 years?

• 5618.30

• $6,000.00

• $5,800.00

• $5,300.00

A certain species of fish in a lake is increasing in population by 15% each year. If there are currently 200 fish, how many will there be in 3 years?

• 304

• 400

• 250

• 350