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.
The equation is xy = 22.5
find the direct variation equation 3x+y=0
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.
It is not possible to answer the question since there is no information as to whether the relationship between x and y is one of direct proportion, inverse proportion or something else.
Find the additive inverse (opposite) of: 18/23
variation
The equation is xy = 22.5
find the direct variation equation 3x+y=0
B. Constant
use the formula y=kx
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
If the variables are in direct or inverse proportion then yes; otherwise no.
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The equation is xy = 5*9 = 45 Alternatively, y = 45/x
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.
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.
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.