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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.

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11y ago

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

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

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


How can you find the unit rate or constant of proportionality in a table?

If the relationship between two variables in a table is that of direct variation, then the unit rate or the constant of proportionality is determined by dividing any non-zero value of one of the variables by the corresponding value of the other variable.


How would you determine the equation of a direct variation?

To determine the equation of a direct variation, you start by identifying the relationship between the two variables, typically represented as ( y ) and ( x ). The equation can be expressed in the form ( y = kx ), where ( k ) is the constant of variation. To find ( k ), you can use a set of values for ( y ) and ( x ) and solve for ( k ) by rearranging the equation to ( k = \frac{y}{x} ). Once you have ( k ), you can write the complete equation of the direct variation.


Does x y3 show direct variation?

To determine if ( xy^3 ) shows direct variation, we check if it can be expressed in the form ( y = kx ), where ( k ) is a constant. In the case of ( xy^3 ), it is more appropriate to analyze it as a function of ( y ): if we isolate ( y ), we find ( y^3 = \frac{k}{x} ), indicating that ( y ) varies inversely with ( x ). Therefore, ( xy^3 ) does not show direct variation.