Given that y varies directly with x, and x = 15, y = 9, how do you write a direct variation equation that relates x and y?

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Given that y varies directly with x, and x = 15, y = 9, how do you write a direct variation equation that relates x and y?

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Answer 1 · 2016-01-21T11:26:41

$y = \frac{3}{5} \cdot x$ $y = 3/5 * x$

Explanation:

$y \propto x$ $y prop x$ So $y = k \cdot x$ $y = k* x$ where k is constant
Here $k = \frac{9}{15}$ $k = 9/15$ So $y = \frac{9}{15} \cdot x$ $y = 9/15 * x$
which simplifies to
$y = \frac{3}{5} \cdot x$ $y = 3/5 * x$ [Answer]

Answer 2 · 2016-01-21T11:43:17

$y = \frac{9}{15} x$ $y=9/15x$

Explanation:

$y$ $y$ varies directly with $x$ $x$

So $y . α . x$ $ycolor(white)(.) alphacolor(white)(.) x$

$y = k x$ $y=kx$ .................(1)

Where $k$ $k$ is some constant

Given that $y : x \to 9 : 15$ $y:x->9:15$

Substitute given value of $y, x$ $y,x$ into equation (1) giving:

$y = k x \to 9 = 15 k$ $y=kx->9=15k$

Divide both sides by 15 giving:

$k = \frac{9}{15}$ $k=9/15$

So the direct variation equation is:

$y = \frac{9}{15} x$ $y=9/15x$

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Given that y varies directly with x, and x = 15, y = 9, how do you write a direct variation equation that relates x and y?

2 Answers

Explanation:

Explanation:

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