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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.

Q: What are the characteristics of inverse proportionality relationship?

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Yes, it does. Every time there are variables in direct or inverse relationship, there is a constant of proportionality.

x=12 and y=10

The slope of an inverse relationship

Y=k/x where k is the constant of proportionality is an example of indirect or inverse variation. They are the same thing.

If the variables are in direct or inverse proportion then yes; otherwise no.

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Yes, it does. Every time there are variables in direct or inverse relationship, there is a constant of proportionality.

The four kinds of proportionality in physics are direct proportionality, inverse proportionality, joint proportionality, and inverse square proportionality. Direct proportionality means that two quantities increase or decrease together. Inverse proportionality means that one quantity increases while the other decreases. Joint proportionality involves three or more quantities varying together. Inverse square proportionality refers to a relationship where one quantity is inversely proportional to the square of another quantity.

x=12 and y=10

y is inversely proportional to x if it is proportional to 1/x.

If two variables are directly proportional to one another then the constant of proportionality is the ratio of their values. If they are in inverse proportion then the constant of proportionality is the product of their values.

Y=k/x where k is the constant of proportionality is an example of indirect or inverse variation. They are the same thing.

The slope of an inverse relationship

If the variables are in direct or inverse proportion then yes; otherwise no.

Direct proportions may be represented by a straight line through the origin, with the equation y = kx. The gradient of the line is the constant of proportionality and is a measure of the change in the "dependent" variable for a unit change in the "independent" variable. In the case of an inverse proportionality, the graph is a hyperbola with the equation y = k/x. The constant of proportionality, k, is a measure of the change in the reciprocal of the "dependent" variable for a unit change in the "independent" variable.

Inverse proportion implies xy = c where c is the constant of [inverse] proportionality. x = 2 and y = 36 implies xy = 72 = c So the relationship is xy = 72 Then, if x = 4, y = 72/x = 72/4 = 18

Variables X and Y are in direct proportion is Y = c*X for some constant c (not zero). Then X increases whenever Y increases and conversely. Y increases by c times the increase in X. Variables X and Y are in inverse proportion is X*Y = k for some constant k (not zero). Then X increases whenevr Y decreases and conversely.

demand line shows an inverse relationship