Two variables, X and Y, are said to be in inverse variation with one another if X*Y is a constant - known as the constant of variation.
Typical example: average speed and time taken (for a journey of fixed distance). You double the speed, you halve the time required. You treble the speed the time drops to a third, etc.
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The inverse variation is the indirect relationship between two variables. The form of the inverse variation is xy = k where k is any real constant.
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
The equation is xy = 22.5
A hyperbola.
Two variables, x and y are in inverse variation if x*y = c for some constant c. The equation can be written in the form y = c/x.