Find an equation of variation in which $y$ varies inversely as $x$ and the following is true.
-$y=49$, when $x=32$
A) $y=\frac{1.53}{x}$
B) $y=\frac{1568}{x}$
C) $y=1.53 x$
D) $y=1568 x$

Question

Quizplus · Accepted Answer

In an inverse variation, the equation can be written as $y = \frac{k}{x}$, where $k$ is the constant of variation. Given $y=49$ when $x=32$, we can find $k$ by solving $49 = \frac{k}{32}$, which gives $k = 49 \times 32 = 1568$. Therefore, the equation of variation is $y = \frac{1568}{x}$.

Find an Equation of Variation in Which yyy Varies Inversely As xxx

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