Below gives values of an exponential function P.Give a formula P(t) in the form P(t)=Poa^t and also in the form P(t)=Poe^rt.If rounding is necessary round to 4 decimal places.
t | 0| 1 | 2
P(t)| 60 | 94.8 | 149.784
$\displaystyle P(t)=P_{0}a^t$, subs $\displaystyle t=0$, we get $\displaystyle P_{0}=60 $. subs $\displaystyle t=1$, you'll get $\displaystyle a$.
for $\displaystyle P(t)=P_{0}e^{rt}$, subs $\displaystyle t=0$ and $\displaystyle t=1$ (or $\displaystyle t=2$) you'll get $\displaystyle P_{0}$ and $\displaystyle r$