Solve the Problem A) $43 \mathrm { mph }$ B) $41 \mathrm { mph }$

Solve the problem.
-Gas mileage is tested for a car under different driving conditions. At lower speeds, the car is driven in stop and go traffic. At higher speeds, the car must overcome more wind resistance. The variable x
Given in the table represents the speed (in mph) for a compact car, and m(x) represents the gas mileage
(in mpg) . Use regression to find a quadratic function to model the data and then use the function to determine
The speed with the greatest gas mileage. Round to the nearest mile per hour. Carry out all computations up to
The final answer without rounding. $\begin{array}{c|ccccccccc}x & 25 & 30 & 35 & 40 & 45 & 50 & 55 & 60 & 65 \\\hline m(x) & 21.4 & 25.4 & 28.2 & 29.9 & 30.4 & 29.8 & 28 & 25.1 & 21\end{array}$

A) $43 \mathrm { mph }$
B) $41 \mathrm { mph }$
C) $45 \mathrm { mph }$
D) $47 \mathrm { mph }$