Calculadora de Variação Inversa

The Inverse Variation Calculator solves problems where one quantity decreases as the other increases, following the relationship y = k/x. Given two points (x1, y1) and (x2, y2), it computes the constant k and predicts y for a new x. This is useful in situations like speed and travel time, or pressure and volume of a gas.

The operation is simple: from the first point (x1, y1), calculate k = x1 * y1. Then, for a new x value, the corresponding y is found by y = k / x. The calculator also checks if the second point is consistent with the constant k, indicating whether the data truly follows an inverse variation.

Use this tool when you need to model inverse relationships in physics, economics, or engineering. For example, to determine the time needed to cover a fixed distance at different speeds, or to adjust proportional recipes. It is ideal for students and professionals dealing with inverse proportions.

Caution: the inverse relationship is only valid if the product x*y is constant. Verify that the data has no measurement errors. Also, remember that x and y cannot be zero, as the function is undefined at that point. The calculator assumes positive values but can handle negatives if needed.