Question

How do you determine the constant of variation for the direct variation given by `y=50x`?

Answer 1

The constant of variation is `50`.

Explanation:

In a direct variation, as `x` increases, `y` increases by the same factor, which is the constant of variation. So `x` and `y` will always have the same ratio: `y/x=k`, where `k` is the constant. This relationship can also be written as `y=kx`.

For your question, `k=50` .

`y/x=50`

`y=50x`