If y varies directly with x, and if y = 2 when x = 6, how do you find the direct variation equation?

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If y varies directly with x, and if y = 2 when x = 6, how do you find the direct variation equation?

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Answer 1 · 2018-04-11T09:31:07

$y = \frac{1}{3} x$ $y=1/3x$

Explanation:

$the initial statement is y \propto x$ $"the initial statement is "ypropx$

$to convert to an equation multiply by k the constant$ $"to convert to an equation multiply by k the constant"$
$of variation$ $"of variation"$

$\Rightarrow y = k x$ $rArry=kx$

$to find k use the given condition$ $"to find k use the given condition"$

$y = 2 when x = 6$ $y=2" when "x=6$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{2}{6} = \frac{1}{3}$ $y=kxrArrk=y/x=2/6=1/3$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/3x)color(white)(2/2)|)))$

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If y varies directly with x, and if y = 2 when x = 6, how do you find the direct variation equation?

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Explanation:

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