If y varies directly as x and y = -24 when x = 8, then how do you find y when x = 10?

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If y varies directly as x and y = -24 when x = 8, then how do you find y when x = 10?

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Answer 1 · 2018-03-30T14:01:16

$y = - 30$ $y=-30$

Explanation:

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

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

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

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

$y = - 24 when x = 8$ $y=-24" when "x=8$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{- 24}{8} = - 3$ $y=kxrArrk=y/x=(-24)/8=-3$

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

$"when "x=10" then"$

$y=-3xx10=-30$

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If y varies directly as x and y = -24 when x = 8, then how do you find y when x = 10?

1 Answer

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