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Which of the following equations represents the following scenario, if $k$ is a "constant of proportionality"?

$m$ varies directly as the sum of $n$ and ${ p }^{ 2 }$, and inversely as the product of $q$ and $\sqrt { s }.$

A

$m=\cfrac { n{ +p }^{ 2 } }{ kq\sqrt { s } }$

B

$m=\cfrac { kq\sqrt { s } }{ n{ +p }^{ 2 } }$

C

$m=k(n{ +p }^{ 2 })q\sqrt { s }$

D

$m=\cfrac { k(n{ +p }^{ 2 }) }{ q\sqrt { s } }$

E

$m=\cfrac { (n{ +p }^{ 2 })q\sqrt { s } }{ k }$

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