What direct equation relates x and y if y varies directly with x and $y = 30$ $y=30$ when $x = 3$ $x=3$ ?

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What direct equation relates x and y if y varies directly with x and $y = 30$ $y=30$ when $x = 3$ $x=3$ ?

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Answer 1 · 2018-03-27T09:25:15

$y = 10 x$ $y=10x$

Explanation:

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

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

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

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

$y = 30 when x = 3$ $y=30" when "x=3$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{30}{3} = 10$ $y=kxrArrk=y/x=30/3=10$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=10x)color(white)(2/2)|)))$

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What direct equation relates x and y if y varies directly with x and $y = 30$ $y=30$ when $x = 3$ $x=3$ ?

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Science

Math

Humanities

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What direct equation relates x and y if y varies directly with x and y=30y=30y=30 when x=3x=3x=3?

1 Answer

Explanation:

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What direct equation relates x and y if y varies directly with x and $y = 30$ $y=30$ when $x = 3$ $x=3$ ?