Mastering Exponential Growth: Equations and Applications

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

• 8000

• 4000

• 2000

• 16000

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?

• $12,500.00

• $10,440.12

• $8,000.00

• $15,000.00

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

• 2000.00

• 1000.00

• 1469.33

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

• 16.29 feet

• 12.50 feet

• 20.00 feet

• 14.75 feet

A certain species of fish in a lake is known to triple in population every year. If there are currently 200 fish, how many will there be in 3 years?

• 600

• 1200

• 1800

• 5400

A viral video is viewed by 1,000 people on the first day and the views double each subsequent day. How many views will it have on the 7th day?

• 256000

• 32000

• 128000

• 64000

A bank offers a savings account with an annual interest rate of 6%, compounded annually. If you deposit $2,000, how much will you have after 3 years?

• $2,500.00

• $2,382.03

• $2,000.00

• $2,100.00

A certain type of mold grows exponentially, doubling in size every 2 days. If you start with 50 grams, how much will you have after 10 days?

• 800 grams

• 400 grams

• 2000 grams

• 1600 grams

A town's population is currently 15,000 and is growing at a rate of 4% per year. What will the population be in 5 years?

• 17500

• 20000

• 18250

• 16000

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 20% each hour, what percentage of the battery will remain after 5 hours?

• 75%

• 10%

• 50%

• 32.77%