If y varies inversely as x, find the inverse variation equation for the situation.
-If the voltage, V, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If the current is 180 milliamperes when the resistance is 2 ohms, find the current when the resistance is 6 ohms.
A) 120 milliamperes
B) 537 milliamperes
C) 540 milliamperes
D) 60 milliamperes

Question

Quizplus · Accepted Answer

The inverse variation equation can be represented as $I = \frac{k}{R}$, where $k$ is a constant. Given $I = 180$ milliamperes when $R = 2$ ohms, we can find $k = 180 \times 2 = 360$. To find the current when $R = 6$ ohms, substitute $R = 6$ into the equation to get $I = \frac{360}{6} = 60$ milliamperes.

If Y Varies Inversely as X, Find the Inverse Variation