[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}
y=39\\
x=3
\end{cases}\implies 39=\cfrac{k}{3}\implies 39(3)=k
\\\\\\
117=k\qquad therefore\qquad \boxed{y=\cfrac{117}{x}}
\\\\\\
\textit{when x = 11, what is \underline{y}?}\qquad y=\cfrac{117}{11}[/tex]
