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Two variables, X and Y are said to be in inverse variation if

XY = k or Y = k/X for some constant k.

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Related Questions

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


The equation y 8x is an example of inverse variation is this true?

No. This is not true. It is false. The equation is an example of direct variation.


Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.?

To find the constant of variation ( k ) for an inverse variation, use the formula ( y = \frac{k}{x} ), where ( y ) and ( x ) are known values. Rearranging gives ( k = y \cdot x ). Once you have ( k ), you can write the equation for the inverse variation as ( y = \frac{k}{x} ). For example, if ( k = 12 ), the equation would be ( y = \frac{12}{x} ).


What is the equation of an inverse relationship?

The equation is xy = k where k is the constant of variation. It can also be expressed y = k over x where k is the constant of variation.


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.


After determining if two quantities are in inverse or direct you can find the equation's constant by solving for it?

variation


Suppose that y varies with x Write an equation for the inverse variation y 4 when x 7?

If y varies with x, then there cannot be an inverse variation between x and y!


What does an inverse variation equation look like?

y = k/x of xy = k where k is a constant.


Is x equals 3 over y inverse or direct variation?

The equation ( x = \frac{3}{y} ) represents an inverse variation. In inverse variation, as one variable increases, the other decreases, which is evident here since ( y ) is in the denominator. This means that if ( y ) increases, ( x ) decreases, and vice versa.


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 inverse variation equation if x equals 5 when y equals 9?

The equation is xy = 5*9 = 45 Alternatively, y = 45/x