How do you write the direct variation of (3, 1/2)?

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How do you write the direct variation of (3, 1/2)?

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Answer 1 · 2018-06-18T09:13:06

$y = \frac{1}{6} x$ $y=1/6x$

Explanation:

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

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

$y = k x$ $y=kx$

$to find k use the given condition (3, \frac{1}{2})$ $"to find k use the given condition "(3,1/2)$

$that is y = \frac{1}{2} when x = 3$ $"that is "y=1/2" when "x=3$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{\frac{1}{2}}{3} = \frac{1}{6}$ $y=kxrArrk=y/x=(1/2)/3=1/6$

$"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/6x)color(white)(2/2)|))$

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How do you write the direct variation of (3, 1/2)?

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