Find the exponential function f that models this data. Round the coefficients to the nearest hundredth. $\begin{array}{r|rrrr}
\mathrm{x} & 2 & 27 & 58 & 82 \
\hline \mathrm{y} & 13.2 & 40.5 & 82.7 & 172
\end{array}$

A) $f ( x ) = ( 14.21 ) ( 1.03 ) ^ { x }$
B) $f ( x ) = ( 0.62 ) ( 7.58 ) ^ { x }$
C) $f ( x ) = ( 13.21 ) ( 1.03 ) ^ { x }$
D) $f ( x ) = ( 7.58 ) ( 0.62 ) ^ { x }$

Question

Find the exponential function f that models this data. Round the coefficients to the nearest hundredth. $\begin{array}{r|rrrr}
\mathrm{x} & 2 & 27 & 58 & 82 \
\hline \mathrm{y} & 13.2 & 40.5 & 82.7 & 172
\end{array}$

A) $f ( x ) = ( 14.21 ) ( 1.03 ) ^ { x }$
B) $f ( x ) = ( 0.62 ) ( 7.58 ) ^ { x }$
C) $f ( x ) = ( 13.21 ) ( 1.03 ) ^ { x }$
D) $f ( x ) = ( 7.58 ) ( 0.62 ) ^ { x }$

Quizplus · Accepted Answer

The correct answer is A because the exponential function that models the data is $f ( x ) = ( 14.21 ) ( 1.03 ) ^ { x }$.

Find the Exponential Function F That Models This Data x2275882y13.240.582.7172\begin{array}{r|rrrr}\mathrm{x} & 2 & 27 & 58 & 82 \\\hline \mathrm{y} & 13.2 & 40.5 & 82.7 & 172\end{array}xy​213.2​2740.5​5882.7​82172​​

Find the Exponential Function F That Models This Data $\begin{array}{r|rrrr}\mathrm{x} & 2 & 27 & 58 & 82 \\\hline \mathrm{y} & 13.2 & 40.5 & 82.7 & 172\end{array}$