Exponents and Growth and Decay

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

How do we know that is an example of an exponential decay?

• Its a line going up

• Its a line going down

• Its a smooth curve going down

• Its a smooth curve going up

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

• Because the 25 was bigger than one

• Because the 0.20 was bigger than one

• Because the 25 was less than one

• Because the 0.20 was less than one

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

• Because the 0.25 was bigger than one

• Because the 1.3 was bigger than one

• Because the 0.25 was less than one

• Because the 1.3 was less than one

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

• Because the 90 was bigger than one

• Because the 1/2 was bigger than one

• Because the 90 was less than one

• Because the 1/2 was less than one