Exp Growth and Decay Formula

Exp Growth and Decay Formula

Liberal Arts in Mathematics

​Exponential Growth

​Exponential Decay

​How to convert from a decimal or percentage

​Percentage to Decimal:

​12%

​DIVIDE to get to DECIMAL:

​12/100= .12

​

​Decimal to Percentage:

​.75

​MULTIPLY to get to PERCENTAGE:

​.75x100= 75%

Fill in the Blank

Convert .13 to a percent

Fill in the Blank

Convert 92% to a decimal

​Writing Exponential Growth as a Function

​Writing Exponential Decay as a Function

​In 2005, there were 100 rabbits in Polygon Park. The population increased by 11% each year.

​a. Write an exponential growth function that represents the population in t years.

​In 2005, there were 100 rabbits in Polygon Park. The population increased by 11% each year.

​b. Based on your function, what will the population be in 2025? Round answer to the NEAREST WHOLE number.

Multiple Choice

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Multiple Choice

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²

Multiple Choice

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Fill in the Blank

Identify the Percent Rate of Change.

$$f\left(x\right)=4\left(0.95\right)^t$$  

Fill in the Blank

Identify the Percent Rate of Change.

$$f\left(x\right)=500\left(1.08\right)^t$$  

Fill in the Blank

Identify the Percent Rate of Change.

$$f\left(x\right)=\left(\frac{3}{4}\right)^t$$  

Poll

Exit Slip:

What would you like to work on tomorrow?

• Exponential Growth and Decay Practice (Graphs and Formula)

• Slope Practice