Math 22 Exponential Growth and Decay

Exponential Growth and Decay

 If $y$ is a positive quantity whose rate of change with respect to time
 is proportional to the quantity present at any time $t$, then  is of the form
 $y=Ce^{kt}$
 where $C$ is the initial value and $k$ is the constant of proportionality. 
 Exponential growth is indicated by $k>0$ and exponential decay by $k<0$.

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