How do you find an equation of variation where y varies directly as x and y = 10 when x = 5, find y when x is 4?

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How do you find an equation of variation where y varies directly as x and y = 10 when x = 5, find y when x is 4?

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Answer 1 · 2017-06-11T13:00:52

$y = 8$ $y=8$

Explanation:

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

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

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

$to find k, use the given condition for x and y$ $"to find k, use the given condition for x and y"$

$y = 10 when x = 5$ $y=10" when " x=5$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{10}{5} = 2$ $y=kxrArrk=y/x=10/5=2$

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

$x=4toy=2xx4=8$

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How do you find an equation of variation where y varies directly as x and y = 10 when x = 5, find y when x is 4?

1 Answer

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