Is $2 x = 4 y$ $2x=4y$ a direct variation equation and if so, what is the constant of variation?

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Is $2 x = 4 y$ $2x=4y$ a direct variation equation and if so, what is the constant of variation?

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Answer 1 · 2016-01-03T14:56:37

The statement " y varies directly as x ," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio:

$\frac{y}{x} = k$ $y/x=k$

where $k$ $k$ is the constant of variation.

For $2 x = 4 y$ $2x=4y$ the constant is profoundly

$2 x = 4 y \Rightarrow y = \frac{2}{4} \cdot x \Rightarrow y = \frac{1}{2} \cdot x$ $2x=4y=>y=2/4*x=>y=1/2*x$

hence $k = \frac{1}{2}$ $k=1/2$

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Is $2 x = 4 y$ $2x=4y$ a direct variation equation and if so, what is the constant of variation?

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Is 2x=4y2x=4y a direct variation equation and if so, what is the constant of variation?

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Is $2 x = 4 y$ $2x=4y$ a direct variation equation and if so, what is the constant of variation?