Find the logarithmic function that models the data in the table below. $\begin{array}{c|c|c|c|c|c}
\mathrm{x} & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm{y} & 1.3 & 4.9 & 6.8 & 8.0 & 9.2
\end{array}$

A) $f ( x ) = 1.39 + 4.86 \log x$
B) $f ( x ) = 4.86 + 1.39 \ln x$
C) $\mathrm { f } ( \mathrm { x } ) = 1.29 + 5.19 \ln \mathrm { x }$
D) $f ( x ) = 1.39 + 4.86 \ln x$

Question

Find the logarithmic function that models the data in the table below. $\begin{array}{c|c|c|c|c|c}
\mathrm{x} & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm{y} & 1.3 & 4.9 & 6.8 & 8.0 & 9.2
\end{array}$

A) $f ( x ) = 1.39 + 4.86 \log x$
B) $f ( x ) = 4.86 + 1.39 \ln x$
C) $\mathrm { f } ( \mathrm { x } ) = 1.29 + 5.19 \ln \mathrm { x }$
D) $f ( x ) = 1.39 + 4.86 \ln x$

Quizplus · Accepted Answer

The function $f(x) = 1.39 + 4.86 \ln x$ best fits the data points provided in the table, as it closely models the relationship between x and y values.

Find the Logarithmic Function That Models the Data in the Table