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

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Answer 1 · 2018-04-30T16:29:25

The constant proportionality $k = 2$ $k=2$

Given -

$x = 3$ $x=3$
$y = 6$ $y=6$

y varies directly with x, then

$y = k . x$ $y=k.x$

Substituting the values, we get -

$6 = k .3$ $6=k.3$

By transpose we get -

$k .3 = 6$ $k.3=6$

$k = \frac{6}{3} = 2$ $k=6/3=2$

The constant proportionality $k = 2$ $k=2$

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