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 and use it to predict the fuel efficiency of this car when it is traveling at a speed of 40 mph. Do not round any values in your calculations but round the final answer to the nearest tenth.

A) 33.7 mpg
B) 35.7 mpg
C) 32.7 mpg
D) 33.9 mpg
E) 34.9 mpg