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Direct and Inverse Proportions

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Direct and Inverse Proportions - Lesson Summary

In a daily life there are many situations where in if there are two quantities, if one increase the other increase or vice-versa. If one quantity decreases other quantity decreases.

Direct proportion
For any two quantities x and y, if the value of y increases with an increase in the value of x such that x y remains constant, then the two quantities x and y are said to be in direct proportion.

Two quantities x and y in direct proportion are written as x ∝ y.

Two quantities x and y are in direct proportion, then the ratio between the corresponding values of x and y is constant. Thus x 1 y 1   =  x 2 y 2     = x 3 y 3      and so on.



Inverse proportion
For any two quantities x and y, if the value of y decreases with an increase in the value of x such that xy remains constant, the two quantities x and y are said to be in inverse proportion.

Two quantities x and y in inverse proportion are written as x ∝   1 y   .

We can also say that if two quantities x and y are in inverse proportion, then the product of corresponding values of x and y is constant, thus, x 1y 1 = x 2y 2 = x 3y 3 and so on.

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