Growth and Decay Models: Real-World Applications Quiz

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

• 10000

• 4000

• 8000

• 2000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

• $8,500.00

• $12,000.00

• $15,000.00

• $10,440.12

A bank account earns 5% interest compounded continuously. If you deposit $1,000, how much will be in the account after 10 years?

• 1200.00

• 1500.50

• 2000.00

• 1648.72

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

• 10 grams

• 40 grams

• 5 grams

A tree grows at a rate of 2.5% per year. If the tree is currently 10 feet tall, what will its height be after 6 years?

• 13.00 feet

• 12.25 feet

• 11.59 feet

• 10.75 feet

A certain species of fish in a lake is decreasing at a rate of 10% per year. If there are currently 1,200 fish, how many will be left after 3 years?

• 900

• 1000

• 1100

• 875

A population of rabbits increases by 20% each year. If there are 300 rabbits now, how many will there be in 5 years?

• 600

• 746

• 500

• 900

A car depreciates continuously at a rate of 12% per year. If the car's initial value is $25,000, what will its value be after 3 years?

• 22000.00

• 17442.00

• 20000.00

• 15000.00

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

• 8000.00

• 7459.10

• 6000.00

• 9000.50

A tree's height is modeled by the function H(t) = 15e^(0.03t), where t is the time in years. What will the height of the tree be after 10 years?

• 30.00

• 15.75

• 25.50

• 20.25