Solving Exponential Decay: Real-World Applications Quiz

A population of bacteria doubles every 3 hours. If you start with 500 bacteria, how many will there be after 9 hours?

• 1000

• 2000

• 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 2 years?

• $12,000

• $16,000

• $18,000

• $14,450

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

• 10 grams

• 40 grams

• 20 grams

• 5 grams

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

• 3000

• 12000

• 6000

• 9000

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 3 years?

• 2.662 meters

• 2.0 meters

• 2.5 meters

• 3.0 meters

A certain investment grows at an annual rate of 8%. If you invest $1,000, how much will it be worth after 5 years?

• 1000.00

• 2000.00

• 1200.00

• 1469.33

A scientist is studying a culture of cells that decreases in number by 20% every hour. If there are initially 1,200 cells, how many will remain after 4 hours?

• 720

• 491

• 600

• 800

The value of a car decreases exponentially. If it is worth $15,000 now and loses 25% of its value each year, what will it be worth after 3 years?

• $8,000.00

• $10,000.00

• $6,328.13

• $12,500.00

A certain species of fish in a lake is decreasing in population by 30% each year. If there are currently 500 fish, how many will be left after 2 years?

• 150

• 300

• 245

• 400

A bank account earns interest at a rate of 5% compounded annually. If you deposit $2,000, how much will you have in the account after 4 years?

• 2500.50

• 2000.00

• 2431.01

• 3000.00