If y varies directly with x, and if -8 = y and -2 = x, how do you find x when y= 32?

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If y varies directly with x, and if -8 = y and -2 = x, how do you find x when y= 32?

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Answer 1 · 2018-03-29T17:10:18

$x = 8$ $x=8$

Explanation:

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

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

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

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

$y = - 8 and x = - 2$ $y=-8" and "x=-2$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{- 8}{- 2} = 4$ $y=kxrArrk=y/x=(-8)/(-2)=4$

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

$"when "y=32$

$rArr4x=32rArrx=32/4=8$

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If y varies directly with x, and if -8 = y and -2 = x, how do you find x when y= 32?

1 Answer

Explanation:

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