The Fuel Efficiency, in Miles Per Gallon, for a Certain

Multiple Choice

The fuel efficiency, in miles per gallon, for a certain midsize car at various speeds, in miles per hour, is given in the table below. $$\begin{array} { | c | c | c | c | } \hline \mathrm { mph } & \mathrm { mpg } & \mathrm { mph } & \mathrm { mpg } \\\hline 25 & 20 & 55 & 31 \\\hline 30 & 24 & 60 & 33 \\\hline 35 & 32 & 65 & 30 \\\hline 40 & 35 & 70 & 24 \\\hline 45 & 36 & 75 & 22 \\\hline 50 & 40 & & \\\hline\end{array}$$ Find a quadratic model for these data.

A) $y = - 0.0344055944 x ^ { 2 } + 3.662377622 x - 55.77622378$
B) $y = 0.0280652681 x ^ { 2 } + 2.897435897 - 38.32867133$
C) $y = - 0.0165034965 x ^ { 2 } + 1.366713287 x + 5.685314685$
D) $y = - 0.0225174825 x ^ { 2 } + 1.915384615 x - 6.664335664$
E) $y = - 0.0258741259 x ^ { 2 } + 2.578321678 x - 28.03496503$