Question

Suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6

Answer 1

`x=1`

Explanation:

A direct variation equation has the following format:

`y=kx`

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

`12=-2k`

Divide both sides by -2:

`k=-6`

So, our direct variation equations is:

`y=-6x`

To find what x is when y equals -6, substitute in -6 for y:

`-6=-6x`

Divide both sides by -6:

`x=1`

So, our answer is 1 :)