Inverse Variation Calculator

Math Tool

Inverse Variation Calculator

Solve for values in an inverse variation relationship using y = k / x.

Main Calculator

x values cannot be 0, and all inputs must be finite numbers.
Results
k = 2 x 10 = 20
5
y = 20 / 4

Validation

All inputs must be finite numbers, and x cannot be 0 because inverse variation divides by x.

Worked Example

If 3 and 12 are inverse variation partners, then k = 36 and y at x = 6 is 6.

Formula

y = k / x
k = x1 y1 = x2 y2

Frequently Asked Questions

Can y be zero?

Yes. Then k = 0, which still fits the formula as long as x is nonzero.

Why is x = 0 rejected?

Because inverse variation requires division by x, and division by 0 is undefined.

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