Choose the one alternative that best completes the statement or answers the question.
-If $\mathrm{f}$ varies jointly as $\mathrm{q}^{2}$ and $\mathrm{h}$, and $\mathrm{f}=81$ when $\mathrm{q}=3$ and $\mathrm{h}=3$, find $\mathrm{f}$ when $\mathrm{q}=4$ and $\mathrm{h}=3$.
A) 9
B) 48
C) 36
D) 144

Question

Quizplus · Accepted Answer

The formula for joint variation is $f = kq^2h$, where $k$ is the constant of variation. Given $f=81$, $q=3$, and $h=3$, we can solve for $k$. Then, using the found value of $k$, we can find $f$ when $q=4$ and $h=3$, which results in $f=144$.

Choose the One Alternative That Best Completes the Statement or Answers