Direct Variation

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

It implies that as x increases or decreases, y will increase or decrease proportionally, maintaining a constant ratio.

The formula is y = kx, where k is the constant of variation.

You can find k by rearranging the formula to k = y/x using known values of x and y.

k = 12/15 = 0.8.

y = kx = (15/3) * 7 = 35.

y = kx = (-27/9) * 20 = -60.

x = (12/16) * 20 = 15.

1. Identify the known values of x and y. 2. Find the constant k. 3. Use the formula y = kx to find the unknown.

If the number of pieces varies directly with the number of packages, then the ratio of pieces to packages remains constant.