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

Multiple Choice

Solve the problem.
-The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the three years considered. Find a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this data. Using this function, what would you predict the dog collar production of Allied Pet Product: to be in year 27 ?
$\begin{array}{c|c}\text { Year } & \begin{array}{c}\text { Number of dog collars } \\\text { (in thousands) }\end{array} \\\hline 0 & 20 \\\hline 6 & 14 \\\hline 18 & 23.6\end{array}$

A) 69,700 collars
B) 100,100 collars
C) 64,700 collars
D) 49,700 collars