Exponential Growth & Decay: Calculate Rates & Graphs

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

• 4000

• 10000

• 8000

• 6000

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? Calculate the decay rate.

• $12,282.50

• $15,000

• $8,500

• $10,000

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

• 40 grams

• 20 grams

• 5 grams

• 10 grams

The number of users on a social media platform increases by 25% each month. If there are currently 1,200 users, how many users will there be after 6 months?

• 3663

• 3000

• 1500

• 2400

A tree's height increases exponentially. If it is currently 2 meters tall and grows at a rate of 10% per year, what will its height be after 5 years?

• 2.5 meters

• 4.0 meters

• 5.0 meters

• 3.22 meters

A certain species of fish decreases in population by 20% each year. If the initial population is 1,000, what will the population be after 4 years?

• 300

• 409

• 500

• 800

A bank account earns 5% interest compounded annually. If you deposit $1,000, how much will you have in the account after 10 years? Calculate the growth and graph the function.

• Approximately $1,628.89

• $1,200.00

• $2,000.00

• $1,500.50

A certain chemical decays at a rate of 30% per hour. If you start with 200 grams, how much will remain after 2 hours?

• 150 grams

• 120 grams

• 75 grams

• 98 grams

The value of a house decreases by 10% each year. If the house is currently worth $300,000, what will its value be in 5 years?

• $177,147.30

• $150,000

• $200,000

• $250,000

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

• 5000

• 6646

• 8000

• 7500