# If y varies inversely as x, find the constant of variation and the inverse variation equation given y=110 and x=6?

The constant of variation is $660$ and the inverse variation equation is $x \cdot y = 660$
$y \propto \frac{1}{x} \therefore y = k \cdot \frac{1}{x} \mathmr{and} k = x \cdot y$(k is constant of variance. Now $y = 110$ when $x = 6 \therefore k = 110 \cdot 6 = 660$ The inverse variation equation is $y = \frac{660}{x} \mathmr{and} x \cdot y = 660$[Ans]