Question

Is `y=3x` a direct variation and if so what is the constant?

Answer 1

Yes; the constant of variation is `color(magenta)3`

Explanation:

Given `y=color(magenta)3x`
If you multiply the value of `x` by `color(blue)k` (for any value of `x`)
then the value of `y` is multiplied by a factor of `color(magenta)3color(blue)k`

Answer 2

`k=3`

Explanation:

`"a direct variation equation has the form"`

`•color(white)(x)y=kxlarrcolor(blue)"k is the constant of variation"`

`y=3x" is in this form hence direct variation equation"`

`rArrk=3`