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Question #363c9

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Jan 29, 2016

$Y \propto X$ $Y prop X$ with a proportionality constant of 2 means $Y = 2 X$ $Y = 2X$

Explanation:

We can write the statement "Y is proportional to the value of X ", which means that if X is double, Y is also doubled etc, as follows:

$Y \propto X$ $Y prop X$
Y is proportional to X

To convert a proportionality relationship to an equation, we need some constant or coefficient, which we would write as:

$Y = k X$ $Y = kX$ , where $k$ $k$ is the proportionality constant.

In this case, $k$ $k$ is 2, so

$Y = 2 X$ $Y = 2X$

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