Solve the Problem (A) Use the Data to Create a Model of the County

Solve the problem.
-The number of adults in a certain county with a college degree has been rising since the year 2005. Let x represent the number of years since the year 2000, and let y represent the number of 1000s of Adults in the county with a college degree for year x.
$$\begin{array}{l}\text { Number of Years Number of Adults with a College }\\\begin{array} { c | c } \text { Since } 2005 ( x ) & \text { Degree } ( y \text { in } 1000 \mathrm {~s} ) \\\hline 0 & 10 \\\hline 4 & 18 \\\hline 6 & 52\end{array}\end{array}$$
(a) Use the data to create a model of the form $y = a x ^ { 2 } + b x + c$
(b) Use the model to approximate the number of adults in the county who will have a college degree for the Year 2015.

A) $y = 10 x ^ { 2 } + 18 x + 52 ; 452,500$ adults
B) $y = 6 x ^ { 2 } + 4 x + 10 ; 180,000$ adults
C) $y = - 8 x ^ { 2 } + 2.5 x + 10 ; 452,500$ adults
D) $y = 2.5 x ^ { 2 } - 8 x + 10 ; 180,000$ adults