The variables x=-0.3 and y=2.2 varies directly. How do you write an equation that relates the variables and find x when y=-5?

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The variables x=-0.3 and y=2.2 varies directly. How do you write an equation that relates the variables and find x when y=-5?

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Answer 1 · 2017-09-13T14:21:11

$y = - \frac{22}{3} x, x = \frac{15}{22}$ $y=-22/3x,x=15/22$

Explanation:

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

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

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

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

$x = - 0.3 and y = 2.2$ $x=-0.3" and "y=2.2$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{2.2 \times 10}{- 0.3 \times 10} = - \frac{22}{3}$ $y=kxrArrk=y/x=(2.2xx10)/(-0.3xx10)=-22/3$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-(22x)/3)color(white)(2/2)|)))$

$"when "y=-5$

$x=-(3y)/22=-(3xx-5)/22=15/22$

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The variables x=-0.3 and y=2.2 varies directly. How do you write an equation that relates the variables and find x when y=-5?

1 Answer

Explanation:

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