Model the Data Using an Exponential Function $$f ( x ) = A b ^ { x }$$

Multiple Choice

Model the data using an exponential function $$f ( x ) = A b ^ { x }$$ . $$\begin{array} { | l | l | l | l | } \hline \boldsymbol { x } & 0 & 1 & 2 \\\hline \boldsymbol { f } ( \boldsymbol { x } ) & 350 & 175 & 87.5 \\\hline\end{array}$$ Select the correct answer.

A) $f ( x ) = 0.5 ( 0.5 ) ^ { x }$
B) $f ( x ) = 350 ( 350 ) ^ { x }$
C) $f ( x ) = 350 ( 0.5 ) ^ { x }$
D) $f ( x ) = 350 ( 0.5 ) ^ { - x }$
E) $f ( x ) = 0.5 ( 350 ) ^ { - x }$