Exponential Growth and Decay

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

In March, 2020, before the Covid-19 lockdown, 1,200,000 Texans had applied for unemployment. During the COVID-19 lockdown, the number of people applying for unemployment increased by 4% each month. What exponential function can be used to find the number of people applying for unemployment after x months of COVID-19 lockdown?​ (a)  

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

Which of the following exponential functions represents an initial value of 1780 and a growth of 18% for x years?​

(a)  

Example: Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year.

Is this problem describing exponential growth or decay?

• Growth

• Decay

Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year.

We now know that our r value is .05. What is our a value? (a is the initial value)

(a)  

Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year. We have modeled this situation with the equation y=46000(1.05)^x.

What does x (input) represent?

• time in years

• salary in dollars

Example: A car bought for $13,000 depreciates at 12% annually.

Is this problem describing exponential growth or decay?

• Growth

• Decay