[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}\\\\
-------------------------------\\\\[/tex]
[tex]\bf \textit{I is inversely proportional to R}\implies I = \cfrac{k}{R}
\\\\\\
\textit{we also know that }
\begin{cases}
I=\stackrel{Amps}{\frac{1}{4}}\\
R=\stackrel{Ohms}{100}
\end{cases}\implies \cfrac{1}{4}=\cfrac{k}{100}\implies \cfrac{100}{4}=k
\\\\\\
25=k\qquad \qquad \boxed{I=\cfrac{25}{R}}
\\\\\\
\textit{when R = 150, what is \underline{I}?}\qquad \qquad I=\cfrac{25}{150}[/tex]
