Solve the Problem $f ( x ) = a x ^ { 2 } + b x + c$

Multiple Choice

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