Exponential Growth and Decay: Real-World Applications

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

• 6000

• 8000

• 10000

• 4000

A car's value decreases by 15% each year. If the car is worth $20,000 now, what will its value be after 4 years?

• $12,500.00

• $10,440.12

• $8,000.00

• $15,000.00

A certain investment grows continuously at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years?

• 1648.72

• 2000.00

• 1200.00

• 1500.50

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years?

• 40 grams

• 10 grams

• 20 grams

• 5 grams

A tree grows at a rate of 3% per year. If its current height is 10 meters, what will its height be after 5 years?

• 13.25 meters

• 11.59 meters

• 10.50 meters

• 12.00 meters

A population of fish in a lake decreases by 10% each year due to overfishing. If there are currently 1,200 fish, how many will be left after 3 years?

• 900

• 874

• 1,080

• 1,000

A bank account earns interest continuously at a rate of 4%. If you deposit $2,500, how much will you have after 6 years?

• 3000.50

• 3500.75

• 2500.00

• 3178.13

A certain species of plant grows at a rate of 8% per year. If there are currently 200 plants, how many will there be after 4 years?

• 220

• 300

• 250

• 272

A car depreciates continuously at a rate of 12% per year. If the car is currently valued at $15,000, what will its value be after 2 years?

• $10,000.00

• $11,799.00

• $13,500.00

• $12,000.00

A certain type of mold grows at a rate of 6% per day. If you start with 50 grams, how much will you have after 7 days?

• 75.18 grams

• 100 grams

• 60 grams

• 80 grams