Exponential Growth Challenges: Solve & Identify Patterns

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

• 8000

• 16000

• 2000

• 4000

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?

• $10,000

• $12,000

• $7,680

• $5,000

A population of rabbits grows exponentially. If there are 100 rabbits now and the population doubles every month, how many rabbits will there be in 6 months?

• 8000

• 1200

• 6400

• 3200

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

• $1,500.00

• $1,200.00

• $1,100.00

• $1,276.28

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

• 128000

• 64000

• 32000

• 256000

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?

• 2.50 meters

• 4.00 meters

• 3.20 meters

• 2.93 meters

A certain species of fish in a lake doubles its population every year. If there are currently 200 fish, how many will there be in 5 years?

• 800

• 3200

• 6400

• 1600

A smartphone's price decreases by 15% each year. If the original price is $800, what will the price be after 2 years?

• $680

• $578

• $500

• $720

A certain type of investment grows at an exponential rate of 8% per year. If you invest $2,000, how much will it be worth after 10 years?

• 3500.00

• 4317.84

• 6000.00

• 5000.00

A virus spreads exponentially, infecting 3 new people for every infected person each day. If there is 1 infected person today, how many will there be in 5 days?

• 1024

• 243

• 512

• 729