# If y varies inversely as x, when x is multiplied by 2, y would be multiplied by what number?

Y is multiplied by $\frac{1}{2}$
$y \propto \frac{1}{x} \implies y = \frac{k}{x}$ where $k$ is a proportionality constant.
${y}_{2} = \frac{k}{2 x} = \frac{1}{2} \cdot \frac{k}{x} = \frac{1}{2} {y}_{1}$