Exponential Growth: Solving Real-World Problems

A bacteria culture doubles in size every 3 hours. If there are initially 100 bacteria, how many will there be after 12 hours?

• 400

• 2000

• 800

• 1600

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

• $5,000

• $10,000

• $12,000

• $7,680

A population of rabbits grows exponentially. If there are 50 rabbits now and the population doubles every month, how many rabbits will there be in 6 months?

• 3200

• 6400

• 1500

• 800

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

• $1,200.00

• $1,500.00

• $1,000.00

• $1,276.28

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

• 3.20 meters

• 2.50 meters

• 2.93 meters

• 4.00 meters

A viral video is shared by 200 people, and each person shares it with 3 more people. If this pattern continues, how many views will the video have after 5 rounds of sharing?

• 204800

• 100000

• 300000

• 150000

A certain species of fish in a lake grows exponentially. If there are currently 200 fish and the population increases by 50% each year, how many fish will there be in 2 years?

• 400

• 600

• 450

• 300

A smartphone's battery lasts for 10 hours on a full charge. If the battery drains at a rate of 20% per hour, how much battery will be left after 4 hours?

• 20%

• 10%

• 30%

• 50%

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

• 12000

• 11500

• 12597

• 13000

A savings account earns 6% interest compounded monthly. If you start with $500, how much will you have in the account after 2 years?

• 550.00

• 600.00

• 530.50

• 563.74