The gas mileage $m(x)($in $mpg)$ for a certain vehicle can be approximated by $m(x)=-0\mathrm{.}028x^2+2\mathrm{.}687x-35\mathrm{.}027,$ where $x$ is the speed of the vehiele in mph$.$

Part: $\frac{0}{2}$

Part $1$ of $2$

$($a$)$ Determine the speed at which the car gets its maximum mileage. Round your answer to the nearest mph$.$

The gas mileage is at a maximum when the car travels at mph$.$