Mastering Exponential Growth and Decay Functions

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

• 10000

• 4000

• 2000

• 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?

• $8,500

• $10,000

• $15,000

• $12,282.50

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 grows exponentially. If there are currently 1,000 users and the number triples every year, how many users will there be in 2 years?

• 12000

• 6000

• 3000

• 9000

A bank account earns 5% interest compounded annually. If you deposit $1,000, how much will be in the account after 4 years?

• 1300.00

• 1000.00

• 1100.00

• 1215.51

A certain species of fish decreases in population by 20% each year. If the current population is 1,200, what will the population be after 2 years?

• 1,000

• 768

• 1,200

• 960

A tree's height increases exponentially. If it is currently 2 meters tall and grows to 4 meters in 2 years, how tall will it be in 4 years?

• 12 meters

• 6 meters

• 10 meters

• 8 meters

A certain medication's effectiveness decreases by 25% every hour. If the initial effectiveness is 100%, what will it be after 3 hours?

• 50%

• 30%

• 75%

• 42.1875%

A town's population is 10,000 and is decreasing by 10% each year. What will the population be after 5 years?

• 7000

• 4500

• 8000

• 5905

A savings account has an initial deposit of $500 and earns 3% interest compounded annually. How much will be in the account after 10 years?

• 750.00

• 500.00

• 671.96

• 600.00