What is the direct variation equation if y varies directly with x, and $y = 7.5$ $y=7.5$ when $x = 2.5$ $x=2.5$ ?

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Answer 1 · 2014-11-01T15:10:17

$y = k x$ $y = kx$

$\Rightarrow 7.5 = k (2.5)$ $=> 7.5 = k(2.5)$

$\Rightarrow 7.5 = 2.5 k$ $=> 7.5 = 2.5k$

$\Rightarrow k = 3$ $=> k = 3$

$\Rightarrow y = 3 x$ $=> y = 3x$

What is the direct variation equation if y varies directly with x, and y=7.5y=7.5 when x=2.5x=2.5?