2022-01-31

Describe what the values of C and k represent in the exponential growth and decay model $y=C{e}^{kt}$.

Expert

For t=0,
$y=C{e}^{k\left(0\right)}=C{e}^{0}=C\left(1\right)=C$
So the initial value is C
If k is a positive number then it is the growth rate, if k is negative then it is the decay rate.