Question

Is `8y=x` a direct variation, inverse variation, joint or neither?

Answer 1

The variation is direct.

Explanation:

`8color(red)(y=x`
so, `x = ky`
Here `color(red)(x,y)` are variables and `color(blue)(8` is the constant which is a fixed value for the variation.

Starting by assigning a set of values to `y`

• Let `y = 1 , x = (color(blue)(k).y ) = color(blue)(8) xx color(red)((1)) = 8`
• Let `y = 2, x = color(blue)(8) xx color(red)((2)) = 16`
• Let `y = 3, x = color(blue)(8)xx color(red)((3)) = 24`

Observing the trend in values of `x` and `y` we can conclude that the variation is direct because as one variable (`y`) increases so does the other variable(`x`).