If $f$ varies jointly as $q ^ { 2 }$ and $h$, and $f = 24$ when $q = 2$ and $h = 3$, find $q$ when $f = 160$ and $h = 5$.
A) $q = 3$
B) $q = 5$
C) $q = 2$
D) $\mathrm { q } = 4$

Question

Quizplus · Accepted Answer

The joint variation equation is $f = kq^2h$. Given $f = 24$, $q = 2$, and $h = 3$, we find $k = 2$. Using $f = 160$ and $h = 5$, solve for $q$ to get $q = 4$.

If fff Varies Jointly As q2q ^ { 2 }q2 And hhh , And

If $f$ Varies Jointly As $q ^ { 2 }$ And $h$ , And