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Q: Y varies inversely with x and the constant of variation is 6 what equation represents the relationship?

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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 relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).

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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.

If x varies directly as y, then x= ky, where k is any constant If x varies inversely as y, then x = k/y, where k is any constant

Related questions

inversely proportional or inverse proportion

yes y=kx is the formula for direct variation, and k represents constant of variation which can also be called slope.

they are inversely proportional when the speed of the wave is constant

Inversely proportional.

they are inversely proportional when the speed of the wave is constant

Direct variation.

Constant variation is a relationship between two variables where one is a fixed multiple of the other. The graph of such a relationship is a straight line through the origin.

If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely proportional.

Tell whether the equation -4x+ 2y = -2 represents a direct variation. If so, identify the constant of variation.

If force is constant, then the product of (mass x acceleration) is constant, so they must be inversely proportioinal.

Each is inversely proportional to the other.

inversely proportional or inverse proportion

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