Question

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

Answer 1

Answer:

$x=1$

Step-by-step 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 :)