Inverse variation is a mathematical relationship between two variables that are inversely proportional to each other. In other words, as one variable increases, the other variable decreases, and vice versa. Inverse variation can be represented by the equation y = k/x, where x and y are two variables and k is a constant value. The product of x and y is always equal to k, which is the constant of proportionality.

Inverse variation can be seen in many real-life examples, such as the relationship between the speed of a car and the time it takes to reach a destination. As the speed of the car increases, the time it takes to reach the destination decreases, and vice versa.

To solve inverse variation problems, one can use the formula y = k/x and substitute the given values to find the constant of proportionality k. Once k is found, the equation can be used to find the value of y for a given value of x.

In summary, inverse variation is a mathematical relationship between two variables that are inversely proportional to each other. It can be represented by the equation y = k/x, and can be seen in many real-life examples. To solve inverse variation problems, one can use the formula y = k/x and substitute the given values to find the constant of proportionality k.