Suppose y varies directly as x and y = 27 when x=3, how do you find x when y = 45?

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Suppose y varies directly as x and y = 27 when x=3, how do you find x when y = 45?

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Answer 1 · 2018-05-16T07:53:12

$x = 5$ $x=5$

Explanation:

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

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

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

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

$y = 27 when x = 3$ $y=27" when "x=3$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{27}{3} = 9$ $y=kxrArrk=y/x=27/3=9$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=9x)color(white)(2/2)|)))$

$"when "y=45" then"$

$45=9xrArrx=45/9=5$

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Suppose y varies directly as x and y = 27 when x=3, how do you find x when y = 45?

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