Answer
$y=2745e^{0.1570x}$
Work Step by Step
$y=ae^{bx}$
When $x=0$, $y=2745$:
$2745=ae^{b(0)}$
$2745=ae^0$
$a=2745$
$y=2745e^{bx}$
When $x=9$, $y=11,277$:
$11,277=2745e^{b(9)}$
$\frac{11,277}{2745}=e^{9b}$
$9b=\ln\frac{11,277}{2745}$
$b=\frac{\ln\frac{11,277}{2745}}{9}\approx0.1570$
$y=2745e^{0.1570x}$
