Question

The variable Q various invents really has a cube of V. If k is the constant of variation which equation represents the situation?

Answer 1

Given:

The variable q varies inversely as the cube of v. If k is the constant of variation, which equation represents this equation?

Solution:

It says that q varies inversely as the cube of v. Inversely means the reverse or opposite.

$q=\frac{1}{v^3}$

Next, we will put the constant k.

$q=k\frac{1}{v^3}$

Then, we will re arrange the expression where we can find k.

$\begin{gathered} q=k\frac{1}{v^3} \\ qv^3=k^{} \\ k=qv^3^{} \end{gathered}$

ANSWER: qv^3 = k