How do you write a direct variation equation if y varies directly with x and y = 10 when x = 2?

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How do you write a direct variation equation if y varies directly with x and y = 10 when x = 2?

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Answer 1 · 2018-06-12T13:04:41

$y = 5 x$ $y=5x$

Explanation:

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

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

$y = k x$ $y=kx$

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

$y = 10 when x = 2$ $y=10" when "x=2$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{10}{2} = 5$ $y=kxrArrk=y/x=10/2=5$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=5x)color(white)(2/2)|)))$

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How do you write a direct variation equation if y varies directly with x and y = 10 when x = 2?

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