Answer
$Q(t)=1000*e^{0.3466t}$
Work Step by Step
The exponential growth model is the following:
$Q(t)=Q_0*e^{t_s*k}$
Where $t_s*k=\ln2$, where $t_s$ is the doubling life at $t=0$ and $k$ is constant.
$Q_0=1000$
$t_s*k=\ln2$
$2*k=\ln2$
$k=\frac{\ln2}{2}=0.3466$
Therefore the model follows the equation of:
$Q(t)=1000*e^{0.3466t}$
