Growth and Decay Rates Practice

The function f(x) = 12,500(0.89)^x models the value of a car x years after its purchase. Which statement is true about the value of the car?

• The value is decreasing at a rate of 11% per year.

• The value is decreasing at a rate of 89% per year.

• The value is increasing at a rate of 11% per year.

• The value is increasing at a rate of 89% per year.

Tags

CCSS.HSF.LE.B.5

Genevieve deposited $400 into her bank account. The equation A(t) = 400(1.07)^x can be used to calculate the value of her money after t years. What is the annual interest rate she is earning on her deposit?

• 0.07%

• 1.07%

• 7%

• 10%

Tags

CCSS.HSF-LE.A.1C

The function V(x) = 20,000(0.87)^x models the value of a car x years after its purchase. Which best describes the rate of change in the value of the car?

• Exponential growth of 87% each year

• Exponential growth of 13% each year

• Exponential decay of 87% each year

• Exponential decay of 13% each year

Tags

CCSS.HSF.LE.B.5

The function f(x) = 250(1.12)^x models the number of students at a school x years after it opened. By what rate is the number of students increasing each year?

• 0.12%

• 0.88%

• 12%

• 88%

Tags

CCSS.HSF-IF.C.8B

The function f(x) = 24500(0.84)^x models the population of a town t years after 2008. What rate is the population of the town decreasing each year?

• 24.5%

• 75.5%

• 16%

• 84%

Tags

CCSS.HSF-IF.C.8B

What is the growth or decay rate for the following equation?
y = 2.5(1.15)^x

• -15% decay
• 115% growth
• 15% growth
• 25% growth

Tags

CCSS.HSF-IF.C.8B

A population has a growth/decay factor of 1.045 What is happening to the population?

• It grows at a rate of 45%
• It grows at a rate of 4.5%
• It dies at a rate of 45%
• It dies at a rate of 1045%

Tags

CCSS.HSF-IF.C.8B

Which of the following equations has a growth rate of 50%

• y = 2(0.50)^x
• y=3(1.5)^x
• y=1.2(2.5)^x
• All of the equations show growth of 50%

Which of the following equations has a decay rate of 20%

• y = 2(0.80)^x
• y=3(1.20)^x
• y=1.2(0.20^x
• None of the equations show decay of 20%

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5
• -.05
• .95
• .05

Tags

CCSS.HSF-LE.A.1C