Exponential Growth: Solving Real-World Problems

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 9 hours?

• 1000

• 4000

• 3000

• 2000

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

• $5,000

• $12,000

• $10,000

• $7,680

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 5 years?

• 1000.00

• 1500.00

• 1200.00

• 1276.28

A certain species of fish in a lake grows at an exponential rate. If the population is currently 200 and grows to 800 in 4 years, what is the growth factor?

• 4

• 3

• 2

• 1.5

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 5th day?

• 4000

• 8000

• 16000

• 20000

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

• 2.42 meters

• 2.80 meters

• 2.20 meters

• 2.00 meters

A certain investment grows exponentially. If you invest $2,000 and it grows to $4,000 in 5 years, what is the annual growth rate?

• 20%

• 5%

• 10.5%

• 14.87%

A town's population is 10,000 and is increasing at a rate of 8% per year. What will the population be in 3 years?

• 11000

• 13500

• 12597

• 12000

A certain type of bacteria grows exponentially. If the population is 1,000 and it triples every hour, how many bacteria will there be after 2 hours?

• 12000

• 9000

• 6000

• 3000

A smartphone's price decreases by 15% each year. If it is currently priced at $800, what will its price be after 2 years?

• $500

• $578

• $720

• $680