Mastering Exponential Functions: Growth and Decay Challenges

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours?

• 4000

• 16000

• 8000

• 1000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 3 years?

• $15,000

• $12,282.50

• $10,000

• $18,000

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

• 8154

• 8200

• 7500

• 9000

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

• 2.93 meters

• 4.00 meters

• 3.20 meters

• 2.50 meters

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

• 1200.00

• 1350.50

• 1469.33

• 1580.75

A certain species 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 2 years?

• 720

• 640

• 800

• 500

A car depreciates in value according to the function V(t) = 25,000(0.85)^t, where t is the number of years. What will the value of the car be after 4 years?

• 10000.75

• 15000.00

• 20000.50

• 13050.16

A population of 500 rabbits is expected to grow exponentially at a rate of 5% per year. How many rabbits will there be after 3 years?

• 581

• 700

• 650

• 500

A certain type of plant decreases in height by 10% each month. If it starts at 50 cm, what will its height be after 6 months?

• 40 cm

• 30 cm

• 20 cm

• 26.57 cm