Mastering Exponential Growth: Real-World Applications

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

• 8000

• 4000

• 16000

• 1000

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?

• $12,000

• $10,000

• $5,000

• $7,680

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

• 1000.00

• 1500.00

• 1276.28

A certain species of fish in a lake grows exponentially. If there are currently 200 fish and the population doubles every month, how many fish will there be in 6 months?

• 6400

• 12800

• 4000

• 10000

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

• 25600

• 48000

• 12000

• 6400

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 5 years?

• 2.00 meters

• 4.00 meters

• 3.22 meters

• 5.00 meters

A certain type of investment grows exponentially. If you invest $2,000 and it grows to $4,000 in 5 years, what is the annual growth rate?

• 10.5%

• 20%

• 14.87%

• 5%

A city’s population is 1 million and is growing at a rate of 4% per year. What will the population be in 10 years?

• 1,480,244

• 1,200,000

• 1,600,000

• 1,350,500

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?

• 3375

• 3000

• 4000

• 2500

A scientist is studying a culture of cells that doubles in number every 24 hours. If there are initially 1,000 cells, how many will there be after 5 days?

• 16000

• 32000

• 40000

• 24000