Solve the Problem $P(x)=a x^{2}+b x+c$ , Where $x$ Is the Number of Years Since 2000

Multiple Choice

Solve the problem.
-The profits (in millions of dollars) of a company can be described by the equation $P(x) =a x^{2}+b x+c$ , where $x$ is the number of years since 2000 . Profits were $\$ 7.7$ million in the year 2000, $\$ 9.3$ million in 2004, and $\$ 12.9$ million in 2008 . Find the values of $a, b$ , and $c$ and use your answer to estimate profits in the year 2014. Round to the nearest tenth.

A) $\$23$ million
B) $\$ 22.1$ million
C) $\$ 23.6$ million
D) $\$ 13.6$ million