Question

How do you determine the constant of variation for the direct variation given `y = 8x`?

Answer 1

`k=8`

Explanation:

Here, you are given an equation in the form `y=kx`.

`k` is equal to `y` over `x`:
`k=y/x`

To solve for the constant of variation in `y=8x`:

`y=8x`
`(1/x)y=(1/x)8x`
`(1/x)y=(1/cancelx)8cancelx`
`y/x=8`

`color(blue)(y/x=8=k)`

Therefore, the constant of variation is `8`.