The variables x=6 and y=3 varies directly. How do you write an equation that relates the variables and find x when y=-5?

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The variables x=6 and y=3 varies directly. How do you write an equation that relates the variables and find x when y=-5?

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Answer 1 · 2017-09-23T09:06:55

$y = \frac{1}{2} x, - 10$ $y=1/2x,-10$

Explanation:

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

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

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

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

$x = 6 when y = 3$ $x=6" when "y=3$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{3}{6} = \frac{1}{2}$ $y=kxrArrk=y/x=3/6=1/2$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/2x)color(white)(2/2)|)))$

$"when "y=-5$

$1/2x=-5rArrx=-10$

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The variables x=6 and y=3 varies directly. How do you write an equation that relates the variables and find x when y=-5?

1 Answer

Explanation:

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