Applications of Exponential Functions

The equation y = a(1 - r)^x is used for:

• 1/2 life

• Interest

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

The equation y = a(1 + r)^x is used for:

• Exponential Growth

• Exponential Decay

• Half Life

• Interest

Tags

CCSS.HSF-IF.C.8B

 $y=a\left(\frac{1}{2}\right)^{\frac{x}{k}}$  This formula is used for:

• Half Life

• Exponential Growth

• Interest

Tags

CCSS.HSF-IF.C.8B

The equation A = Pe^rt is used for:

• Half Life

• Interest Compounded Continuously

• Interest Compounded Monthly

• Exponential Decay

In the formula A = Pe^rt, P stands for

• Principal (Amount Invested)

• Interest Rate

• Final Amount

• Time

If something is growing at a rate of 2% per year, r in the growth formula is:

• .2

• 2

• .02

• 200

Tags

CCSS.HSF-IF.C.8B

 $A\ =\ P\left(1+\frac{r}{n}\right)^{nt}$  In this formula, if the interest is compounded quarterly, n is = to:

• 25

• 5

• 4

• 2

In all of the formulas we have looked at, the left side of the equation represents:

• Time

• Initial Amount

• Final Amount

 $y=a\left(\frac{1}{2}\right)^{\frac{x}{k}}$  In this formula, the variable that represents the half life time is:

• y

• a

• x

• k

Tags

CCSS.HSF.LE.B.5

If the half life of a substance is 12 years, and 36 years pass, how many half lives does the substance go through?

• 1

• 2

• 3

• 4