Y varies directly with x and y = 12 when x = 4, how do you write the direct variation equation?

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Y varies directly with x and y = 12 when x = 4, how do you write the direct variation equation?

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Answer 1 · 2017-08-25T13:05:00

$y = 3 x$ $y=3x$

Explanation:

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

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

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

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

$y = 12 when x = 4$ $y=12" when "x=4$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{12}{4} = 3$ $y=kxrArrk=y/x=12/4=3$

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

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Y varies directly with x and y = 12 when x = 4, how do you write the direct variation equation?

1 Answer

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