Exploring Growth and Decay: Exponential Models Quiz

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

• 2000

• 10000

• 8000

• 4000

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?

• $12,282.50

• $18,000

• $10,000

• $15,000

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be after 4 years?

• 15 feet

• 10.5 feet

• 11 feet

• 12.16 feet

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

• 1200.00

• 2000.00

• 1000.00

• 1469.33

A radioactive substance decays at a rate of 10% per hour. If you start with 200 grams, how much will remain after 5 hours?

• 118.1 grams

• 150 grams

• 200 grams

• 80 grams

A population of fish in a lake is currently 1,000 and is expected to grow by 25% each year. What will the population be after 2 years?

• 1300

• 1200

• 1563

• 2000

A savings account earns 6% interest compounded annually. If you deposit $500, how much will you have in the account after 3 years?

• $595.51

• $575.00

• $600.00

• $550.00

A certain species of plant grows exponentially, increasing by 30% each month. If there are 200 plants now, how many will there be in 6 months?

• 600

• 900

• 743

• 500

A town's population is 10,000 and is decreasing by 4% each year. What will the population be in 5 years?

• 7500

• 8154

• 9000

• 8200

A culture of yeast grows exponentially, doubling in size every 2 hours. If you start with 250 grams, how much will you have after 8 hours?

• 1000 grams

• 2000 grams

• 500 grams

• 4000 grams