Find the Exponential Function F That Models This Data $\begin{array}{r|rrrr}x & 3 & 6 & 9 & 12 \\\hline y & 12.2 & 36.2 & 73.5 & 151\end{array}$

Multiple Choice

Find the exponential function f that models this data. Round the coefficients to the nearest hundredth. $\begin{array}{r|rrrr}x & 3 & 6 & 9 & 12 \\\hline y & 12.2 & 36.2 & 73.5 & 151\end{array}$

A) $\mathrm { f } ( \mathrm { x } ) = ( 1.63 ) ( 1.78 ) ^ { \mathrm { x } }$
B) $f ( x ) = ( 1.32 ) ( 5.97 ) ^ { x }$
C) $\mathrm { f } ( \mathrm { x } ) = ( 5.97 ) ( 1.32 ) ^ { \mathrm { x } }$
D) $f ( x ) = ( 1.78 ) ( 1.63 ) ^ { x }$