How do you write the direct variation of (2, 10)?

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How do you write the direct variation of (2, 10)?

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Answer 1 · 2017-11-14T17:41:31

Please see the solutions below..

Explanation:

According to the parameters given..

$x = 2$ $x = 2$

$y = 10$ $y = 10$

Direct variation..

$x \propto y$ $x prop y$

$x = y k$ $x = yk$ where $k$ $k$ is constant..

Where $x = 2 and y = 10$ $x = 2 and y = 10$

Therefore..

$2 = 10 k$ $2 = 10k$

$\frac{2}{10} = k$ $2/10 = k$

$\frac{1}{5} = k$ $1/5 = k$

$0.2 = k$ $0.2 = k$

Answer 2 · 2017-11-14T18:40:18

$y = 5 x$ $y=5x$

Explanation:

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

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

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

$to find k use the given point (2, 10)$ $"to find k use the given point "(2,10)$

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

$"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=5x)color(white)(2/2)|)))$

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How do you write the direct variation of (2, 10)?

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