If y varies directly as x, how do you find the direct variation equation for the situation. y = 0.5 when x = 2?

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If y varies directly as x, how do you find the direct variation equation for the situation. y = 0.5 when x = 2?

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Answer 1 · 2017-08-22T08:57:51

$y = 0.25 x$ $y=0.25x$

Explanation:

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

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

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

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

$y = 0.5 when x = 2$ $y=0.5" when "x=2$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{0.5}{2} = 0.25$ $y=kxrArrk=y/x=0.5/2=0.25$

$"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=0.25x)color(white)(2/2)|)))$

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If y varies directly as x, how do you find the direct variation equation for the situation. y = 0.5 when x = 2?

1 Answer

Explanation:

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