Direct Variation Calculator
The Direct Variation Calculator finds the constant of variation k from a known pair (x, y) using y = kx, then predicts y for a new x. Enter a known x and y and the new x.
Formula
y = kx, so k = y ÷ x
- In direct variation, y changes in constant proportion to x.
- Once k is known, any y can be predicted from its x.
x=4, y=12, new x=7
Inputs
- Known x: 4
- Known y: 12
- New x: 7
k = 12/4 = 3, so y = 3x and at x = 7, y = 21.
Frequently asked questions
What is direct variation?
A relationship y = kx where y is always a constant multiple k of x, passing through the origin.