Question

If y varies directly as​ x, find the constant of variation k and the direct variation equation for the situation.

Answer 1

Alright! I've seen quite a few of these so I thought I'd get them out of the way and help you out! :).

Direct variation is simple. The formula you'll use to find the constant K is as follows:

y = kx

Once you've established your formula you simply plug in:

.3 = (k)(.6)

Then you solve for k by dividing both sides by (.6) thus getting:

(.3/.6) = k  OR  (1/2) = k

Your direct variation equation is your standard formula with only K plugged in:

y = (1/2)x