If y varies directly with x, and y = 0.8 when x = 0.5, how do you write the direct linear variation equation?

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If y varies directly with x, and y = 0.8 when x = 0.5, how do you write the direct linear variation equation?

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Answer 1 · 2018-05-01T10:58:05

$y = 1.6 x$ $y=1.6x$

Explanation:

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

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

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

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

$y = 0.8 when x = 0.5$ $y=0.8" when "x=0.5$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{0.8}{0.5} = 1.6$ $y=kxrArrk=y/x=0.8/0.5=1.6$

$" equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1.6x)color(white)(2/2)|)))$

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If y varies directly with x, and y = 0.8 when x = 0.5, how do you write the direct linear variation equation?

1 Answer

Explanation:

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