Students in a Lab Measured the Breaking Strength S (In $x$

Students in a lab measured the breaking strength S (in pounds) of wood 2 inches thick, $x$ inches high, and 12 inches long. The results are shown in the table below. Use the regression capabilities of a graphing utility to fit a quadratic model to the data. Round the numerical values in your answer to two decimal places, where applicable.
$\begin{array}{|c|c|c|c|c|c|}\hline x & 4 & 6 & 8 & 10 & 12 \\\hline S & 2422 & 5512 & 10,362 & 16,302 & 23,912 \\\hline\end{array}$

A) $S = 170.89 x ^ { 2 } - 209.79 x + 324$
B) $S = 180.89 x ^ { 2 } - 205.79 x + 324$
C) $S = 190.89 x ^ { 2 } + 201.79 x + 331$
D) $S = 170.89 x ^ { 2 } - 209.79 x + 327$
E) $S = 180.89 x ^ { 2 } + 203.79 x - 331$