Y varies inversely as the cube of x Given that y = 24 when x = 2 find the value of x when y = -3 How do I solve this?

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Answer 1 · 2018-04-22T18:05:13

$x=-4$

Inverse variation will be modeled by:
$y=k/x^3$

Solving for $k$ :
$24=k/2^3$

$k= 24*8$

$k=192$

$y=k/x^3$

Solving for $x$ :
$-3=192/x^3$

$x^3= 192/-3$

$x= root(3)(-64)$

$x=-4$