Exponential Growth & Decay: 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?

• 1000

• 16000

• 4000

• 8000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 3 years?

• $18,000

• $10,000

• $12,282.50

• $15,000

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

• 20 grams

• 40 grams

• 5 grams

• 10 grams

The number of users on a social media platform increases exponentially. If there are currently 1,000 users and the number triples every year, how many users will there be in 2 years?

• 9000

• 3000

• 5000

• 12000

A certain type of plant grows at a rate of 10% per month. If you plant 200 seeds, how many will there be after 6 months?

• 354

• 250

• 300

• 400

A certain medication in the bloodstream decreases by 25% every hour. If the initial dose is 200 mg, how much will remain after 4 hours?

• 100 mg

• 50 mg

• 63.28125 mg

• 150 mg

A bank account earns interest at a rate of 5% compounded annually. If you deposit $1,000, how much will be in the account after 5 years?

• 1150.00

• 1000.00

• 1500.00

• 1276.28

The population of a town is decreasing at a rate of 4% per year. If the current population is 50,000, what will the population be in 5 years?

• 38000

• 45000

• 40770

• 50000

A certain species of fish in a lake decreases by 30% each year due to pollution. If there are currently 1,200 fish, how many will be left after 2 years?

• 960

• 588

• 720

• 840

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

• 5.00 meters

• 4.50 meters

• 2.00 meters

• 3.50 meters