[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=6\\
y=8
\end{cases}\implies 8=\cfrac{k}{6}\implies 48=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{48}{x}}
\\\\\\
\textit{when x = 3, what is \underline{y}?}\qquad y=\cfrac{48}{3}[/tex]
