Exponential Growth & Decay: Real-World Applications

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

• 2000

• 4000

• 10000

• 8000

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

• $15,000.00

• $12,000.00

• $10,440.12

A certain investment grows at an annual rate of 8%. If you invest $1,000, how long will it take for your investment to reach $2,000?

• 5 years

• 9 years

• 15 years

• 12 years

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years?

• 10 grams

• 40 grams

• 20 grams

• 5 grams

The population of a city is 100,000 and is increasing at a rate of 5% per year. What will the population be in 10 years?

• 162889

• 200000

• 120000

• 150000

A tree grows at a rate of 10% per year. If it is currently 2 meters tall, how tall will it be in 5 years?

• 3.22 meters

• 5.0 meters

• 2.5 meters

• 4.0 meters

A certain type of bacteria decreases by 20% every hour. If you start with 1,000 bacteria, how many will remain after 3 hours?

• 600

• 512

• 400

• 800

A loan of $5,000 is taken out with an interest rate of 6% compounded annually. How long will it take for the loan to double?

• Approximately 11.90 years

• Approximately 5 years

• Approximately 20 years

• Approximately 15 years

A certain investment grows according to the formula A = Pe^(rt). If you invest $2,000 at an interest rate of 5% for 10 years, what will be the total amount?

• 2500.00

• 3000.00

• 3500.00

• 3297.44

A population of fish in a lake decreases by 30% each year due to overfishing. If there are currently 1,200 fish, how many will be left after 2 years?

• 720

• 588

• 960

• 840