Question

If $y$ is inversely proportional to $x$, how does $y$ change when $x$ is doubled?

• A. $y$ is doubled
• B. $y$ becomes $4$ times
• C. $y$ is halved
• D. Value of $y$ is squared

Answer 1

The correct option is C $y$ is halved

$y$ is inversely proportional to $x$

or, $y=\frac{k}{x}$

or, $k=xy$

If x is doubled,

$y=\frac{k}{2x}=\frac{y}{2}$

Hence y is halved