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

Multiple Choice

Solve the problem.
-The following table shows the per capita cumquat consumption, in pounds, in the Virgin Islands i three different years. 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 per capita cumquat consumption to be in year 11?

$\begin{array}{c|c}\text { Year } & \begin{array}{c}\text { Cumquat consumption } \\\text { (in pounds) }\end{array} \\\hline 0 & 12.4 \\\hline 5 & 23.9 \\\hline 9 & 43.9\end{array}$
n 64)

A) 55.2 lb
B) 59 lb
C) 57.5 lb
D) 57.9 lb