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the variable w varies inversely as the cube of v. if k is the constant of variation, which equation represents this situation?a: qv^=kb: q^3 v= kc: q/v^3=kd: q^3/v=k picture listed below

the variable w varies inversely as the cube of v if k is the constant of variation which equation represents this situationa qvkb q3 v kc qv3kd q3vk picture lis class=

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Solution

Given that:

[tex]\begin{gathered} q\propto\frac{1}{v^3} \\ \\ \Rightarrow q=\frac{k}{v^3} \\ \\ \Rightarrow k=qv^3 \end{gathered}[/tex]

Option A.