Exploring Exponential Growth: Real-Life Applications

A population of bacteria doubles every 3 hours. If you start with 100 bacteria, how many will there be after 12 hours?

• 400

• 1600

• 3200

• 800

A car's value depreciates by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

• $15,000.00

• $10,440.12

• $8,500.00

• $12,000.00

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

• 1000.00

• 2000.00

• 1469.33

• 1200.00

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be after 3 years?

• 12.50 feet

• 10.25 feet

• 11.58 feet

• 13.00 feet

A certain species of fish in a lake is known to triple in population every year. If there are currently 50 fish, how many will there be in 2 years?

• 300

• 450

• 150

• 100

A bank offers a savings account with a 6% interest rate compounded annually. If you deposit $500, how much will you have after 3 years?

• $600.00

• $575.00

• $550.00

• $595.51

A viral video on social media gains 1,000 views in the first hour and then doubles its views every hour. How many views will it have after 5 hours?

• 4000

• 20000

• 8000

• 16000

A certain type of investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 5% for 10 years, what will be the total amount?

• 4000.00

• 3257.79

• 3000.00

• 2500.00

A town's population is currently 10,000 and is growing at a rate of 4% per year. What will the population be in 5 years?

• 13000

• 12500

• 11500

• 12167

A smartphone's battery life decreases by 20% each year. If the battery lasts 10 hours when new, how long will it last after 3 years?

• 7.2 hours

• 6.5 hours

• 5.12 hours

• 4.8 hours