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It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.

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16y ago
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Q: Is it always true for an inverse relation that the product of the two inversely related variables is constant?
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Related questions

What inverse relation means?

Two variables, X and Y, are in inverse relation if X*Y = a constant.


What is the relationship between two variable if the product of the variables is constant?

inversely proportional or inverse proportion


What are the characteristics of inverse proportionality relationship?

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.


Is the inverse proportion one in which the product of the two variables is constant?

Yes.


Does a constant of proportionality exist?

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


A term used to describe the relationship between two variables whose product is constant?

The relationship between two variables whose ration is a constant value is a directly proportional relationship. An example of this is the ideal gas law, PV = nRT. Pressure and volume are directly proportional to the number of molecules of an ideal gas present ad the temperature.


The argumentative defense of any proposition is inversely proportional to the truth contained?

Two quantities and are said to be inversely proportional (or "in inverse proportion") if is given by a constant multiple of , i.e., for a constant. This relationship is commonly written


What is the inverse variation?

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.


How you write inverse proportion?

Two quantities are inversely proportional when one is multiplied or divided by any number, the other is divided or multiplied by the same number. The relation is also commonly denoted as: y ∝ x−1 The graph of two variables that are inversely proportional is a hyperbola. Speed and time are inversely proportional because as the speed increases, the time it takes to reach the destination decreases.


What is the domain of the inverse of a relation?

The domain of the inverse of a relation is the range of the relation. Similarly, the range of the inverse of a relation is the domain of the relation.


What does inverse variation mean?

Two variables X and Y are in inverse variation if X*Y = c for some non-zero constant c.


What is the constant of portionality?

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.