The variables x=1 and y=1/2 varies directly. How do you write an equation that relates the variables and find y when x=8?

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The variables x=1 and y=1/2 varies directly. How do you write an equation that relates the variables and find y when x=8?

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Answer 1 · 2017-09-16T09:10:11

$y = 4$ $y=4$

Explanation:

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

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

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

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

$x = 1 and y = \frac{1}{2}$ $x=1" and "y=1/2$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{\frac{1}{2}}{1} = \frac{1}{2}$ $y=kxrArrk=y/x=(1/2)/1=1/2$

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

$"when "x=8$

$y=1/2xx8=4$

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The variables x=1 and y=1/2 varies directly. How do you write an equation that relates the variables and find y when x=8?

1 Answer

Explanation:

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