[tex]\bf \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 } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} x=3\\ y=8 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{\stackrel{therefore}{y=\cfrac{24}{x}}} \\\\\\ \textit{when x = 8, what is \underline{y}?}\qquad y=\cfrac{24}{8}\implies y=3[/tex]
