The current I in an electrical conductor is inversely proportional to its resistance R . If the current is 1 /4 ampere when the resistance is 100 ohms, what is the current when the resistance is 150 ohms? Keep your answer in rational form and omit units.
[tex]\bf \textit{I is inversely proportional to R}\implies I = \cfrac{k}{R}
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\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
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25=k\qquad \qquad \boxed{I=\cfrac{25}{R}}
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\textit{when R = 150, what is \underline{I}?}\qquad \qquad I=\cfrac{25}{150}[/tex]
