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The value of y varies directly with x. Which function represents the relationship between x and y if y=20/3 when x=30?

1 Answer

Oct 23, 2017

$y = \frac{2}{9} x$ $y=2/9x$

Explanation:

If $y$ $y$ varies directly with $x$ $x$
then
$XXX y = k \cdot x$ $color(white)("XXX")y=k * x$ for some constant $k$ $k$

Given $x = 30 \to y = \frac{20}{3}$ $x=30rarr y=20/3$
implies
$XXX \frac{20}{3} = k \cdot 30$ $color(white)("XXX")20/3 = k * 30$

$XXX \to k = \frac{\frac{20}{3}}{30} = \frac{20}{90} = \frac{2}{9}$ $color(white)("XXX")rarr k=(20/3)/30=20/90=2/9$

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