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

question 51

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 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) \(S = 180.89 x ^ { 2 } + 203.79 x - 331\)

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An automatic, natural reaction to a stimulus that occurs without any prior learning or conditioning.

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The pleasure and sense of satisfaction experienced after eating, which can be a powerful motivation for food consumption and choices.

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