Does the equation $12 x = 36 y$ $12x = 36y$ represent a direct variation and if so, identify the constant of variation?

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Answer 1 · 2017-03-28T15:13:40

Direct variation: $k = 3 for x = 3 y$ $k = 3 " for " x = 3y$
Direct variation: $k = \frac{1}{3} for y = \frac{1}{3} x$ $k = 1/3 " for " y = 1/3x$

Direct variation $A = k B$ $A = kB$

So divide both sides by $12 : x = 3 y$ $12: x = 3y$

If you want $y = k x : y = \frac{1}{3} x,$ $y = kx: " " y = 1/3 x,$ where $k = \frac{1}{3}$ $k = 1/3$

Does the equation 12x = 36y 12x=36y12x = 36y represent a direct variation and if so, identify the constant of variation?