Inverse Variation Calculator

Your details

Choose the unknown you want to find. Enter the other two values below.
The independent variable in y = k/x. Cannot be zero.
The proportionality constant. k = x * y.
Result
3

The solved value of the unknown variable

Constant of variation (k)12
Variation equationy = 12 / x
Verification: x * y12
Solved value3
Constant k12
x * y (verify)12

Solved: the y value is 3.0000.

  • The constant of variation is k = 12.0000, meaning x times y always equals 12.0000 on this curve.
  • At x = 4, the curve gives y = 3.0000.
  • If x doubles to 8.0000, y halves to 1.5000.
  • Because k is positive and greater than 1, the hyperbola sits in quadrants I and III.

Next stepTo verify any (x, y) pair belongs to this inverse variation, multiply x by y. If the product equals k, the pair is on the curve.

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