Question

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

Answer 1

Direct variation: `k = 3 " for " x = 3y`
Direct variation: `k = 1/3 " for " y = 1/3x`

Explanation:

Direct variation `A = kB`

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

If you want `y = kx: " " y = 1/3 x,` where `k = 1/3`