Exponential Growth: Identify & Solve Challenges

A population of rabbits doubles every year. If there are currently 50 rabbits, how many will there be in 3 years?

• 200

• 400

• 800

• 100

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

• 800

• 400

• 3200

• 1600

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

• $10,500

• $12,000

• $8,000

• $9,600

A tree grows at an exponential rate. If it is currently 2 feet tall and grows to 8 feet in 3 years, what is the growth factor?

• 4.0000

• 2.0000

• 1.5874

• 10.0000

A bank account earns 5% interest compounded annually. If you deposit $1,000, how much will be in the account after 5 years?

• 1150.00

• 1500.00

• 1276.28

• 1000.00

A certain species of fish in a lake grows exponentially. If there are 300 fish now and the population triples every year, how many fish will there be in 2 years?

• 900

• 3600

• 2700

• 1500

A smartphone's battery life decreases exponentially. If it lasts 10 hours when fully charged, how long will it last after 3 cycles of use if it retains 80% of its life each cycle?

• 7.50 hours

• 6.40 hours

• 4.00 hours

• 5.12 hours

A town's population is 10,000 and is growing at a rate of 10% per year. What will the population be in 4 years?

• 15000

• 14641

• 12000

• 13500

A savings account has an initial deposit of $500 and earns 6% interest compounded annually. How much will be in the account after 3 years?

• $595.51

• $600.00

• $550.25

• $575.00

A viral video on a social media platform gains views exponentially. If it has 1,000 views today and the views double every week, how many views will it have in 4 weeks?

• 16000

• 4000

• 8000

• 20000