Answer
$k=.18$, $y=\frac{.18}{x}$
Work Step by Step
If y varies inversely as x, we know that the variables x and y can be related by the function $y=\frac{k}{x}$, where k is the constant of proportionality.
If $y=.6$ when $x=.3$, then we know that $.6=\frac{k}{.3}$ (or $\frac{6}{10}=\frac{10k}{3}$). Multiply both sides by $\frac{3}{10}$.
$k=\frac{6\times3}{10\times10}=\frac{18}{100}=.18$
Therefore, the constant of variation is $k=.18$ and the inverse variation equation is $y=\frac{.18}{x}$.
