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

---

Definitions:

Accounting Services

Professional services that deal with the recording, reviewing, and interpreting financial transactions and statements.

Tax Returns

Documents filed with a tax authority that report income, expenses, and other relevant tax information to calculate tax liability.

Income

Money received, especially on a regular basis, through work, investments, business, etc., for goods or services provided.

Realized

Pertains to the conversion of an asset into cash or when a gain or loss is acknowledged upon selling or trading an asset.