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?

• 5000

• 3000

• 4000

• 2500

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?

• $14,450

• $18,000

• $12,000

• $16,000

A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, how much will you have after 3 years?

• 1157.63

• 1050.75

• 1100.50

• 1200.00

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

• 150 grams

• 80 grams

• 200 grams

• 118.1 grams

A tree grows at a rate of 8% per year. If the tree is currently 10 feet tall, what will its height be after 4 years?

• 13.60 feet

• 10.80 feet

• 15.20 feet

• 12.00 feet

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?

• 400

• 512

• 640

• 800

A savings account has an initial balance of $500 and earns 4% interest compounded annually. What will the balance be after 5 years?

• $608.33

• $640.00

• $500.00

• $550.00

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?

• 100 grams

• 50.625 grams

• 30 grams

• 25 grams

A car depreciates in value by 25% each year. If the car was purchased for $30,000, what will its value be after 3 years?

• $12,656.25

• $18,750

• $15,000

• $22,500

A population of rabbits decreases by 30% each year due to predators. If there are currently 400 rabbits, how many will be left after 2 years?

• 196

• 280

• 320

• 360