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Question

Why do we multiply a constant if it is given as a no. A is inversely proportional to B then , A= KB (where K is constant)?


Solution

The constant is called the coefficient of proportionality or proportionality constant. If one variable is always the product of the other variable and a constant, the two are said to be directly proportional. x and y are directly proportional if the ratio yx is constant.

To express the statement "y is directly proportional to x" mathematically, we write an equation y = cx, where c is the proportionality constant. Symbolically, this is written as y ∝ x.

To express the statement y is inversely proportional to mathematically, we write an equation y = c/x. We can equivalently write y is directly proportional to 1/x.

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