Question

Is `2x=4y` a direct variation equation and if so, what is the constant of variation?

Answer 1

The statement " y varies directly as x ," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio:

`y/x=k`

where `k` is the constant of variation.

For `2x=4y` the constant is profoundly

`2x=4y=>y=2/4*x=>y=1/2*x`

hence `k=1/2`