If y varies directly with x, and y = 28 when x = 7, how do you write the direct linear variation equation?

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If y varies directly with x, and y = 28 when x = 7, how do you write the direct linear variation equation?

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Answer 1 · 2018-04-14T10:25:05

$y = 4 x$ $y=4x$

Explanation:

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

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

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

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

$y = 28 when x = 7$ $y=28" when "x=7$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{28}{7} = 4$ $y=kxrArrk=y/x=28/7=4$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=4x)color(white)(2/2)|)))$

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If y varies directly with x, and y = 28 when x = 7, how do you write the direct linear variation equation?

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