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Q: What is the inverse variation?

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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.

Suppose the two variables are denoted by X and Y. If Y is a constant multiple of X, that is Y = c*X, then the variation is direct. If the value of X*Y is a constant, that is Y = c/X, then the variation in inverse.

Related questions

If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).

Which of the following is an example of inverse variation?4x =zy =2xxy=7xz=z

The equation is xy = 22.5

Inverse variation does not pass through the origin, however direct variation always passes through the origin.

Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .

x=yr

Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .

No, this is an inverse variation.

Two variables X and Y are in inverse variation if X*Y = c for some non-zero constant c.

Which of the following is an example of inverse variation?4x =zy =2xxy=7xz=z

A hyperbola.

Yes.

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