Solve the problem.
-The following table shows the number of rectifiers, in thousands, produced by Allied Electronics in the three years considered. For a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this data, what is the value of $b$ ?
$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Number of rectifiers } \
\text { (in thousands) }
\end{array} \
\hline 0 & 12 \
\hline 3 & 69 \
\hline 5 & 137
\end{array}$

A) 12
B) 11
C) 9
D) 10

Question

Solve the problem.
-The following table shows the number of rectifiers, in thousands, produced by Allied Electronics in the three years considered. For a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this data, what is the value of $b$ ?
$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Number of rectifiers } \
\text { (in thousands) }
\end{array} \
\hline 0 & 12 \
\hline 3 & 69 \
\hline 5 & 137
\end{array}$

A) 12
B) 11
C) 9
D) 10

Quizplus · Accepted Answer

The difference between the number of rectifiers produced in year 3 and the number produced in year 0 is 69 - 12 = 57. The difference between the number of rectifiers produced in year 5 and the number produced in year 3 is 137 - 69 = 68. The difference between these two differences is 68 - 57 = 11. Therefore, the value of b is 11.

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