Given that y varies directly with x, and x = 6, y = 102, 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 = 6, y = 102, how do you write a direct variation equation that relates x and y?

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Answer 1 · 2018-01-16T05:53:12

The equation that relates x & y is

$color(purple)(x/y = 1 / 17)$

Explanation:

Given $x color(white)(xx) alpha color(white)(xx) y$

Also $x = 6, y = 102$

$x : y = 6 : 102$

$x / y = (cancel(6) color(red)1) / (cancel(102) color(red)17) = 1/17$

The equation that relates x & y is

$color(purple)(x/y = 1 / 17)$

When x = 1, y = 17, when x = 2, y = 34, x = 6, y = 102 & so on.

Answer 2 · 2018-01-16T11:55:03

$y=17x$

Explanation:

$"the initial statement is "ypropx$

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

$rArry=kx$

$"to find k use the given condition"$

$x=6" when "y=102$

$y=kxrArrk=y/x=102/6=17$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=17x)color(white)(2/2)|)))$

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Given that y varies directly with x, and x = 6, y = 102, how do you write a direct variation equation that relates x and y?

2 Answers

Explanation:

Explanation:

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