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

Question

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

Quizplus · Accepted Answer

To find the breaking strength when $x = 2$, substitute $x = 2$ into the given model: $S = 180.89(2)^2 - 205.79(2) + 284$. This simplifies to $S = 180.89(4) - 411.58 + 284$, which further simplifies to $S = 723.56 - 411.58 + 284$, resulting in $S = 595.98$ pounds.

Students in a Lab Measured the Breaking Strength S (In xxx

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