Answer
a) $f(t)=1500\cdot2^t$.
b) $25,165,824,000$.
Work Step by Step
a) We are looking for an exponential model in the form of
$f(t)=Ab^t$,
where $t$ represents passed hours.
At $t=0$, $f(t)=1500$. Thus, $A=1500$. Also, from the exercise, the amount doubles every hour, so $b=2$. Hence, we have:
$f(t)=1500\cdot2^t$.
b) Thus, plugging in $t=24$, we get:
$f(24)=1500\cdot2^{24}=25,165,824,000$.
