Exponential Growth: Real-World Applications Challenge

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

• 8000

• 4000

• 16000

• 1000

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?

• $8,000.00

• $10,440.12

• $12,500.00

• $15,000.00

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 10 years?

• 1200.50

• 2000.00

• 1500.00

• 1628.89

A certain investment grows exponentially according to the formula A = P(1 + r)^t. If you invest $2,000 at an annual interest rate of 6% for 5 years, what will be the total amount?

• 2676.45

• 2200.00

• 3000.00

• 2500.00

A tree grows 2 inches in the first year and then grows 50% more each subsequent year. How tall will the tree be after 4 years?

• 16.25 inches

• 10 inches

• 12 inches

• 20 inches

A certain species of fish in a lake grows at a rate of 20% per year. If there are currently 1,000 fish, how many will there be after 3 years?

• 2000

• 1728

• 1200

• 1500

A sequence is defined by the formula a_n = 3n + 2. What is the 10th term of this sequence?

• 34

• 30

• 32

• 28

The number of users on a social media platform increases by 25% each month. If there are currently 800 users, how many users will there be after 6 months?

• 2442

• 1600

• 2000

• 3000

A savings account has a balance of $5,000 and earns 4% interest compounded quarterly. What will the balance be after 3 years?

• $6,000.00

• $5,200.00

• $5,800.50

• 5634.12

A certain type of investment grows according to the formula A = Pe^(rt). If you invest $1,500 at an annual interest rate of 8% for 2 years, what will be the total amount?

• 1500.00

• 1800.00

• 1760.50

• 2000.00