Answer
(a). $n(t)=10\times 2^{t/1.5}$
(b).$n(t)=105,689,837.9851$
(c).$t= 14.95$
Work Step by Step
$n(t)=n_0\times2^{t/a}$, whereas $n_0$: is the number of an Initial bacteria, $t$: time and $a$: is a time it takes to double.
(a).
Thus, In this case. $n_0=10$, $a=1.5 hr$.
$n(t)=10\times 2^{t/1.5}$
(b). $t=35$.
$n(t)=10\times 2^{35/1.5},$
$n(t)=105,689,837.9851$
(c).$n(t)=10000$,
$10000=10\times 2^{t/1.5},$
$1000=2^{t/1.5},$
$3=\frac{t}{1.5} \log 2,$
$t=\frac{1.5\times3}{\log 2} = 14.95$
