Mastering Exponential Growth: Functions and Applications

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

• 2000

• 4000

• 8000

• 10000

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?

• $9,600

• $7,680

• $10,000

• $8,000

A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, how much will you have after 5 years?

• 1200.00

• 1500.00

• 1000.00

• 1276.28

A certain species of fish in a lake grows at a rate of 10% per year. If there are currently 200 fish, how many will there be in 4 years?

• 250

• 293

• 180

• 320

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

• 6400

• 12000

• 8000

• 25600

A tree grows at a rate of 15% per year. If its current height is 10 feet, what will its height be after 2 years?

• 15.00 feet

• 14.00 feet

• 13.23 feet

• 12.50 feet

A town's population is 20,000 and is growing at a rate of 4% per year. What will the population be in 5 years?

• 24333

• 22000

• 30000

• 25000

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

• 5000.00

• 4000.00

• 3500.00

• 4317.84

A smartphone app has 1,000 downloads and is growing at a rate of 50% per month. How many downloads will it have after 3 months?

• 2500

• 4000

• 1500

• 3375

A certain type of virus spreads exponentially. If there are 50 infected individuals and the number doubles every day, how many will be infected after 5 days?

• 1600

• 4000

• 3200

• 800