Exponential Growth and Decay: Real-World Applications

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

• 4000

• 8000

• 1000

• 2000

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

• $18,000

• $16,000

• $14,450

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

• 1100.50

• 1050.25

• 1200.00

• 1157.63

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

• 40 grams

• 5 grams

• 20 grams

• 10 grams

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

• 3.20 meters

• 2.50 meters

• 4.00 meters

• 2.93 meters

A population of fish in a lake decreases by 20% each year due to overfishing. If there are currently 1,000 fish, how many will be left after 3 years?

• 800

• 640

• 400

• 512

A savings account has an initial balance of $500 and earns 4% interest compounded quarterly. What will the balance be after 2 years?

• 600.00

• 500.00

• 541.43

• 550.25

A certain species of plant grows exponentially, increasing by 25% each month. If there are 200 plants now, how many will there be in 6 months?

• 610

• 800

• 500

• 400

A loan of $5,000 is taken out with an interest rate of 8% per year, compounded annually. How much will be owed after 3 years?

• 5000.00

• 6298.56

• 6000.00

• 7000.00

A virus spreads in a population, doubling the number of infected individuals every week. If there are 10 infected individuals initially, how many will there be after 4 weeks?

• 40

• 320

• 160

• 80