Exponential Growth and Decay Quiz

What is the growth factor for the world population?

• 0.965

• 1.0126

• 1.03

• 1.125

What is the value of the computer after three years if it depreciates at a rate of 14.3% per year?

• $5695.3

• $4091.25

• $57.96

• $7229.28

What is the function that models the change in the animal population if it decreases at a rate of 3.5% per year?

• P(x) = 80 (0.857) x

• P(x) = 80 (1.03) x

• P(x) = 80 (0.965) x

• P(x) = 80 (1.02) x

What is the value of the car after 5 years if it depreciates at a rate of 9% each year?

• $7229.28

• $4091.25

• $57.96

• $5695.3

What is the function that models the value of the new car that depreciates 25% each year?

• f(x) = 18,000 (1.03) x

• f(x) = 18,000 (0.857) x

• f(x) = 18,000 (1.125) x

• f(x) = 18,000 (0.75) x

What is the bear population after 10 years if it increases at a rate of 2% per year and there are 1573 bears this year?

• 1.917.48 bears

• 1.917.48 bears

• 1.917.48 bears

• 1.917.48 bears

What is the value of the investment after 30 years if it increases at a rate of 12.5% per year and the initial investment is $75,000?

• $2,568,247.07

• $4091.25

• $57.96

• $5695.3

What is the function that models the bird population if it decreases at a rate of 0.75% per year and there are currently about 200,000 birds?

• f(x) = 200,000 (0.857) x

• f(x) = 200,000 (1.03) x

• f(x) = 200,000 (0.965) x

• f(x) = 200,000 (1.0126) x

What is the decay factor for technetium-99m with a half-life of 6 hours?

• 0.857

• 1.0126

• 0.965

• 1.125

What is the amount of Iodine-131 remaining after 72 days if it has a half-life of 8.14 days and the initial sample is 200 mg?

• 16.28 mg

• 32.56 mg

• 8.14 mg

• 64.14 mg