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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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What is the inverse variation?
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.
How do you do a direct variation with an inverse variation problem?
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
Find the constant variation k for the inverse variation then write an equation for the inverse variation y 2.5 when x 9?
The equation is xy = 22.5
What does the graph of an inverse variation look like?
A hyperbola.
What is inverse variation?
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.
