The variables x=0.8 and y=1.6 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=0.8 and y=1.6 varies directly. How do you write an equation that relates the variables and find y when x=8?

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Answer 1 · 2017-12-12T09:37:37

$y = 2 x$ $y=2x$

Explanation:

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

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

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

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

$x = 0.8 and y = 1.6$ $x=0.8" and "y=1.6$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{1.6}{0.8} = 2$ $y=kxrArrk=y/x=1.6/0.8=2$

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

$"when "x=8$

$y=2xx8=16$

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The variables x=0.8 and y=1.6 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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