A variable $y$ varies directly with the square of $x$ . If $x=3$ when $y=6$ , what is the constant of proportionality, $k$ ?

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Answer 1 · 2018-04-30T16:29:25

The constant proportionality $k=2$

Given -

$x=3$
$y=6$

y varies directly with x, then

$y=k.x$

Substituting the values, we get -

$6=k.3$

By transpose we get -

$k.3=6$

$k=6/3=2$

The constant proportionality $k=2$

A variable yy varies directly with the square of xx. If x=3x=3 when y=6y=6, what is the constant of proportionality, kk?