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?

• 4000

• 8000

• 1000

• 16000

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?

• $7,680

• $10,000

• $5,000

• $12,000

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?

• 1000.00

• 1200.00

• 1276.28

• 1500.50

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

• 1600

• 2400

• 3200

• 4000

A viral video is viewed by 1,000 people on the first day and the views double each subsequent day. How many views will it have on the 7th day?

• 256000

• 64000

• 32000

• 128000

A town's population is 10,000 and is growing at a rate of 4% per year. What will the population be in 5 years?

• 13000

• 10500

• 12167

• 11500

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 6% for 10 years, what will be the total amount?

• 4000.00

• 3000.00

• 2500.00

• 3581.69

A tree's height increases exponentially. If it is currently 3 feet tall and grows to 9 feet in 2 years, what is the growth factor?

• 4

• sqrt(3)

• 2

• 6

A certain type of bacteria grows at a rate of 50% per hour. If you start with 200 bacteria, how many will you have after 5 hours?

• 800

• 1518

• 1200

• 1000

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 10% every hour, what will the battery percentage be after 5 hours?

• 70%

• 80%

• 45%

• 59.049%