When two variables change in inverse proportion it is called as indirect variation. In indirect variation one variable is constant times inverse of other. If one variable increases other will decrease, if one decrease other will also increase. This means that the variables change in a same ratio but inversely.
General equation for an inverse variation is Y = K1x. Or XY = K which is constant. So the product of two variables is a constant for inverse variation.
A variable quantity A is said to vary inversely as another variable quantity B, when A varies as the reciprocal of B i.e., when A varies as 1B
Thus, if A varies inversely as B, we write A ∝ 1B or, A = m ∙ 1B or, AB = m where’m (≠ 0) is the constant of variation. Hence, if one variable varies inversely as another, then the product of the corresponding values of the variables is constant.
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Answer:
When two variables change in inverse proportion it is called as indirect variation. In indirect variation one variable is constant times inverse of other. If one variable increases other will decrease, if one decrease other will also increase. This means that the variables change in a same ratio but inversely.
General equation for an inverse variation is Y = K1x. Or XY = K which is constant. So the product of two variables is a constant for inverse variation.
A variable quantity A is said to vary inversely as another variable quantity B, when A varies as the reciprocal of B i.e., when A varies as 1B
Thus, if A varies inversely as B, we write A ∝ 1B or, A = m ∙ 1B or, AB = m where’m (≠ 0) is the constant of variation. Hence, if one variable varies inversely as another, then the product of the corresponding values of the variables is constant.
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