Exponential Growth Challenges for 7th Graders

A population of rabbits doubles every year. If there are 50 rabbits at the start of the year, how many will there be after 3 years?

• 200

• 800

• 100

• 400

A bacteria culture grows exponentially. If there are 200 bacteria now, and it doubles every 4 hours, how many bacteria will there be after 12 hours?

• 800

• 400

• 3200

• 1600

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

• 15 feet

• 8 feet

• 10 feet

• 12.76 feet

A savings account earns 3% interest compounded continuously. If you deposit $1,000, how much will you have after 10 years?

• 1349.86

• 1000.00

• 1500.00

• 1200.00

A certain species of fish in a lake grows at a rate of 10% per year. If there are currently 1,000 fish, how many will there be in 4 years?

• 1464

• 2000

• 1200

• 800

A car's value decreases by 15% each year. If the car is worth $20,000 now, what will its value be after 2 years?

• $18,000

• $14,450

• $12,000

• $16,000

A certain type of plant grows exponentially. If it starts with 5 plants and doubles every month, how many plants will there be after 6 months?

• 500

• 150

• 60

• 320

A city’s population is currently 150,000 and is expected to grow at a rate of 4% per year. What will the population be in 5 years?

• 182498

• 160,000

• 175,000

• 200,000

A viral video on a social media platform gains views exponentially. If it starts with 1,000 views and triples every week, how many views will it have after 3 weeks?

• 27000

• 9000

• 15000

• 20000

A loan of $5,000 is taken out with an interest rate of 6% compounded continuously. How much will be owed after 5 years?

• 6000.00

• 6749.30

• 5000.00

• 7500.00