Find the exponential function f that models this data. Round the coefficients to the nearest hundredth. $\begin{array}{r|rrrr}
\mathrm{x} & 1 & 3 & 5 & 7 \
\hline \mathrm{y} & 1.23 & 2.51 & 4.05 & 6.92
\end{array}$
A) $f ( x ) = ( 0.85 ) ( 1.14 ) ^ { x }$
B) $f ( x ) = ( 1.14 ) ( 0.85 ) ^ { x }$
C) $f ( x ) = ( 1.3
3 ) ( 0.98 ) ^ { x }$
D) $f ( x ) = ( 0.98 ) ( 1.33 ) ^ { x }$

Question

Quizplus · Accepted Answer

The data suggests an increasing exponential function, which matches the form $f(x) = a \cdot b^x$ where $b > 1$. Option D has $b = 1.33$, which is greater than 1, indicating growth.

Find the Exponential Function F That Models This Data x1357y1.232.514.056.92\begin{array}{r|rrrr}\mathrm{x} & 1 & 3 & 5 & 7 \\\hline \mathrm{y} & 1.23 & 2.51 & 4.05 & 6.92\end{array}xy​11.23​32.51​54.05​76.92​​

Find the Exponential Function F That Models This Data $\begin{array}{r|rrrr}\mathrm{x} & 1 & 3 & 5 & 7 \\\hline \mathrm{y} & 1.23 & 2.51 & 4.05 & 6.92\end{array}$