If $x$ and $y$ vary directly and $x = 8$ when $y = 12$, find the constant of proportionality $k =…

If $x$ and $y$ vary directly and $x = 8$ when $y = 12$, find the constant of proportionality $k = \dfrac{x}{y}$.
  1. $\dfrac{2}{3}$
  2. $\dfrac{3}{2}$
  3. $96$
  4. $20$

Solution

$k = \dfrac{x}{y} = \dfrac{8}{12} = \dfrac{2}{3}$.

Asked in: IMO

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