The Approximate Lengths and Diameters (In Inches) of Common Nails $y$

Multiple Choice

The approximate lengths and diameters (in inches) of common nails are shown in the table. Find a logarithmic equation that relates the diameter $y$ of a common nail to its length $$x.$$ $$\begin{array} { | c | c | } \hline \text { Length, } x & \text { Diameter, } y \\\hline 1 & 0.095 \\\hline 2 & 0.156 \\\hline 3 & 0.208 \\\hline\end{array}$$ $$\begin{array} { | c | c | } \hline \text { Length, } x & \text { Diameter, } y \\\hline 4 & 0.256 \\\hline 5 & 0.300 \\\hline 6 & 0.342 \\\hline\end{array}$$

A) $\ln y = - 0.095 \ln x + \ln 0.715$
B) $\ln y = 0.095 \ln x - \ln 0.715$
C) $\ln y = 0.715 \ln x - \ln 0.095$
D) $\ln y = - 0.095 \ln x - \ln 0.715$
E) $\ln y = 0.715 \ln x + \ln 0.095$