Find the constant of variation k for the stated condition

Question

Y varies directly as x, and y=132 when x=6

Answer 1

When something varies directly, it means we are multiplying it by a constant. The standard equation for a direct variation relation is:

y = kx, where "k" is your constant

So from the problem we know that when y = 132, x = 6. We can plug this into the direct variation equation and solve for our constant:

y = kx

132 = 6 * k

132 / 6 = k

22 = k

And there you have it! If you have additional problems don't hesitate to reach out

Answer 2

y = k*x

132 = k*6

k = 132/6 = 22

y = 22*x