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 Trapezoidal Rule. Round your answer to three decimal places.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline x & 0.00 & 0.25 & 0.50 & 0.75 & 1.00 & 1.25 & 1.50 & 1.75 & 2.00 \\\hline y & 4.12 & 4.27 & 4.62 & 6.37 & 6.82 & 7.47 & 7.72 & 8.67 & 8.92 \\\hline\end{array}$

A) $13.115$
B) $12.000$
C) $7.373$
D) $104.920$
E) $24.600$