Find Table Lists Several Measurements Gathered in an Experiment to Approximate

Multiple Choice

Find table lists several measurements gathered in an experiment to approximate an unknown continuous function $y = f ( x )$ . Approximate the integral $\int _ { 0 } ^ { 2 } f ( x ) d x$ using the Simpson's Rule. Round your answer to three decimal places.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline x & 0.00 & 0.25 & 0.50 & 0.75 & 1.00 & 1.25 & 1.50 & 1.75 & 2.00 \\\hline y & 4.72 & 4.77 & 4.82 & 6.17 & 6.52 & 7.17 & 7.32 & 7.97 & 8.02 \\\hline\end{array}$

A) $12.197$
B) $8.518$
C) $15.975$
D) $12.865$
E) $11.628$