If $y$ is inversely proportional to $x$ and $x$ becomes $4$ times its value, $y$ becomes:

If $y$ is inversely proportional to $x$ and $x$ becomes $4$ times its value, $y$ becomes:
  1. $4$ times its value
  2. $\dfrac{1}{4}$ times its value
  3. $16$ times its value
  4. $\dfrac{1}{16}$ times its value

Solution

$y = \dfrac{k}{x}$, so multiplying $x$ by $4$ divides $y$ by $4$.

Asked in: IMO

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