Applying Exponential Models to Real-World Growth Scenarios

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

• 16000

• 4000

• 1000

• 8000

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

• $10,000

• $7,680

• $12,000

• $5,000

A population of rabbits increases by 50% each year. If there are 200 rabbits now, how many will there be in 4 years?

• 800

• 600

• 400

• 1012

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

• $1,276.28

• $1,500.00

• $1,100.00

• $1,200.00

A certain species of fish in a lake grows exponentially. If there are 1,000 fish now and the population doubles every year, how many fish will there be in 6 years?

• 32000

• 64000

• 128000

• 8000

A viral video is shared by 100 people, and each person shares it with 3 more people every hour. How many views will the video have after 4 hours?

• 25600

• 48000

• 12000

• 6400

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 5 years?

• 2.00 meters

• 4.00 meters

• 5.00 meters

• 3.22 meters

A smartphone's battery lasts for 2 years before it needs to be replaced. If you buy a new battery every 2 years, how many batteries will you have purchased after 10 years?

• 4

• 5

• 3

• 6

A town's population is 10,000 and is expected to grow by 8% each year. What will the population be in 3 years?

• 13000

• 12597

• 11500

• 12000

A savings account earns 6% interest compounded monthly. If you start with $2,000, how much will you have in the account after 2 years?

• 2254.98

• 2100.00

• 2400.50

• 2500.00