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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.

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Q: Relationship between variables in direct proportionality and inverse proportionality?
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Related questions

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.


What mathematical relationship between variables is suggested by a graph showing a hyperbola?

Inverse


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.


What is a relationship between two variables in which one variable increases as the other decreases?

This is called an "inverse" relationship.


Can you find the constant of proportionality when given a certain situation?

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


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.


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.


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

inversely proportional or inverse proportion


What mathematical relationship between variables is suggested by a graph showing a half-parabola?

inverse linear or quadratic


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An inverse proportion between two variables is when the value of one variable increases, the other decreases. Mathematically, this is shown as: x = k / yn where x and y are the two variables, and k and n are constants.


Is the relationship between pressure and volume direct or inverse?

the relationship between pressure and volume a direct or inverse?


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