Exponential Growth Decay Equations

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 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.LE.B.5

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

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

Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)^x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?

• fee charged for an inactive account

• percent of money in the account after x years

• amount of money in the account initially

• amount of money in the account after x years

Tags

CCSS.HSF.LE.B.5

The population of Bloom Falls, Mass. (population 937) is slowly decreasing. Every year the population drops by 4.5%. What is the population after 3 years?

• 1,069 people

• 894 people

• 816 people

• 854 people

Tags

CCSS.HSF-LE.A.1C

Solve 3²⁶ = 3^{4x + 2}

• x = 6

• x = 5

• x = 3

• x = -4

Solve: 2^x = 4^x+1

• -2

• 2

• -3

• 3

Is this equation exponential growth, decay, or neither?

• Exponential Growth

• Exponential Decay

• Neither

Tags

CCSS.HSF-IF.C.8B

Is this exponential growth or decay?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B