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 in 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 12 ?

A) $65.2 \mathrm { lb }$
B) $65.6 \mathrm { lb }$
C) $66.7 \mathrm { lb }$
D) $62.9 \mathrm { lb }$