Exploring Exponential Growth: Real-World Math Challenges

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

• 8000

• 4000

• 10000

• 6000

A car's value decreases by 20% each year. If the car was originally worth $25,000, what will its value be after 3 years?

• $15,000

• $10,000

• $20,000

• $12,800

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

• $1,276.28

• $1,200.00

• $1,100.00

• $1,500.00

A certain species of fish in a lake grows exponentially. If there are 200 fish now and the population doubles every year, how many fish will there be in 4 years?

• 3200

• 4000

• 2400

• 1600

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 3 full charges if it loses 10% of its capacity each time?

• 20 hours

• 17.5 hours

• 10 hours

• 15 hours

A tree grows at a rate of 15% per year. If it is currently 4 feet tall, how tall will it be after 2 years?

• 5.29 feet

• 4.60 feet

• 5.00 feet

• 6.00 feet

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

• 33600

• 9000

• 48000

• 1200

A town's population is 10,000 and is growing at a rate of 8% per year. What will the population be in 5 years?

• 15800

• 13500

• 14693

• 12000

A savings account has an initial deposit of $500 and earns 6% interest compounded monthly. How much will be in the account after 2 years?

• 563.74

• 600.00

• 550.00

• 575.50

A certain type of plant grows exponentially. If it starts with 50 plants and doubles every month, how many plants will there be after 6 months?

• 640

• 800

• 3200

• 1500