Exponential Growth & Decay Word Problems

What is the formula for exponential growth?

• $f\left(x\right)=a\left(1-r\right)^x$

• $f\left(x\right)=a\left(1+r\right)^x$

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the formula for exponential decay?

• $f\left(x\right)=a\left(1-r\right)^x$

• $f\left(x\right)=a\left(1+r\right)^x$

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Exponential growth is  $y=a\left(1+r\right)^x$  , and exponential decay is  $y=a\left(1-r\right)^x$  .

What does "a" represent?

• Initial amount

• Rate of growth or decay

• Time

• End amount

Tags

CCSS.HSF.LE.B.5

Exponential growth is  $y=a\left(1+r\right)^x$  , and exponential decay is  $y=a\left(1-r\right)^x$  .

What does "r" represent?

• Initial amount

• Rate of growth or decay

• Time

• End amount

Tags

CCSS.HSF.LE.A.2

Exponential growth is  $y=a\left(1+r\right)^x$  , and exponential decay is  $y=a\left(1-r\right)^x$  .

What does "x" represent?

• Initial amount

• Rate of growth or decay

• Time

• End amount

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Exponential growth is  $y=a\left(1+r\right)^x$  , and exponential decay is  $y=a\left(1-r\right)^x$  .

What does "y" represent?

• Initial amount

• Rate of growth or decay

• Time

• End amount

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.B.5

Convert the percent to a decimal. Remember: move the decimal two places to the left!

3.5%=

• .35

• 3.5

• .035

• .0035

Convert the percent to a decimal:

27%=

• 2.7

• .27

• 270

• .027

Convert the percent to a decimal:

9%=

• .9

• 900

• .009

• .09

Tags

CCSS.7.RP.A.3

Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years.

Round to two decimal places (like dollars and cents).

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2