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Answer :
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} y=2\\x=9 \end{cases} \\\\\\ 2=\cfrac{k}{9}\implies 18 = k\hspace{9em}\boxed{y=\cfrac{18}{x}} \\\\\\ \textit{when x = 6, what's "y"?}\qquad y=\cfrac{18}{6}\implies y=3[/tex]
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