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The constant of variation in an http://wiki.answers.com/Q/inverse-variation.html is the constant (unchanged) product between two variable quantities.The formula for indirect variation is xy = k..where k is the constant of variation.The constant of variation in a http://wiki.answers.com/Q/direct-variation.html is the constant (unchanged) ratio of two http://wiki.answers.com/Q/variables.html quantities. The formula for direct variation is y = kx..where k is the constant of 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.
To determine if a relationship represents direct or inverse variation, examine how the variables change in relation to each other. In direct variation, as one variable increases, the other also increases (e.g., ( y = kx ), where ( k ) is a constant). In inverse variation, as one variable increases, the other decreases (e.g., ( y = \frac{k}{x} )). You can also look for a constant ratio or product; in direct variation, the ratio ( \frac{y}{x} ) is constant, while in inverse variation, the product ( xy ) is constant.
Yes.
y = k/x of xy = k where k is a constant.
A direct variation is when the value of K in multiple proportions is all divisible by the same number for example: XY=(1)(10) K=10 XY=(2)(20) K=40 XY=(3)(30) K=90 XY=(4)(40) K=160 In this situation the constant (K) of each proportion is divisible by 10 making the multiple equations a direct variation.
The constant of variation in an http://wiki.answers.com/Q/inverse-variation.html is the constant (unchanged) product between two variable quantities.The formula for indirect variation is xy = k..where k is the constant of variation.The constant of variation in a http://wiki.answers.com/Q/direct-variation.html is the constant (unchanged) ratio of two http://wiki.answers.com/Q/variables.html quantities. The formula for direct variation is y = kx..where k is the constant of 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.
To determine if a relationship represents direct or inverse variation, examine how the variables change in relation to each other. In direct variation, as one variable increases, the other also increases (e.g., ( y = kx ), where ( k ) is a constant). In inverse variation, as one variable increases, the other decreases (e.g., ( y = \frac{k}{x} )). You can also look for a constant ratio or product; in direct variation, the ratio ( \frac{y}{x} ) is constant, while in inverse variation, the product ( xy ) is constant.
Yes.
xy=k
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.
The equation is xy = 22.5
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.
xY = 6.
y = k/x of xy = k where k is a constant.
The equation (xy = 7) represents an inverse relationship between (x) and (y). This means that as one variable increases, the other decreases in such a way that their product remains constant at 7. In contrast, a direct relationship would imply that both variables change in the same direction. Thus, (xy = 7) is an example of an inverse relationship.