Question #1f017

1 Answer
Nov 16, 2017

7x=56y does represent a direct variation. The constant variation is 18.

Explanation:

Direct variation is one variable is proportionate to the other variable. If you take a closer look at 7x=56y, you can see that these two are proportionate if you divide by 7 or 56.

You can also come to this conclusion by noting that there are no y-variable and x-variable without getting the origin. A line with direct variation goes through the origin.

To find the constant variation, you want the y to be free of any coefficient. To make 56y into just y, you need to divide the whole problem by 56. This becomes y=18X. Remember that a direct variation equation is y=kx. K is the constant of variation (constant variation). Thek in y=18X is 18.

Hope this helped.