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

question 64

Multiple Choice

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 model $S = 180.89 x ^ { 2 } - 205.79 x + 284$ to approximate the breaking strength when $x = 2$ . Round your answer to two decimal places.
$\begin{array}{|c|c|c|c|c|c|}\hline x & 4 & 6 & 8 & 10 & 12 \\\hline S & 2382 & 5472 & 10,322 & 16,262 & 23,872 \\\hline\end{array}$

• A) \(595.98\) pounds
• B) \(390.19\) pounds
• C) \(957.76\) pounds
• D) \(801.77\) pounds
• E) \(751.97\) pounds

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