V8 Car Engine Is Coupled to a Dynamometer and the Horsepower

Multiple Choice

V8 car engine is coupled to a dynamometer and the horsepower y is measured at different engine speeds $x$ (in thousands of revolutions per minute) . The results are shown in the table below. Use the model $y = - 1.806 x ^ { 3 } + 14.58 x ^ { 2 } + 16.4 x + 30$ to approximate the horsepower when the engine is running at 5500 revolutions per minute. Round your answer to two decimal places.
$\begin{array}{|c|c|c|c|c|c|c|}\hline x & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 60 & 105 & 160 & 220 & 245 & 265 \\\hline\end{array}$

A) $260.77 \mathrm { hp }$
B) $262.73 \mathrm { hp }$
C) $262.36 \mathrm { hp }$
D) $261.38 \mathrm { hp }$
E) $261.91 \mathrm { hp }$