Find an equation of variation in which the following are true.
-f varies jointly as $q ^ { 2 }$ and $h$, and $f = 96$ when $q = 4$ and $h = 3$.
A) $f = 2 q ^ { 2 } h$
B) $f = \frac { 1 } { 4608 } q ^ { 2 } h$
C) $f = 4608 q ^ { 2 } h$
D) $f = \frac { 1 } { 2 } q ^ { 2 } h$

Question

Quizplus · Accepted Answer

The equation of variation is $f = kq^2h$. Substituting $f = 96$, $q = 4$, and $h = 3$ into the equation gives $96 = k(4)^2(3)$. Solving for $k$ gives $k = 2$, so the equation is $f = 2q^2h$.

Find an Equation of Variation in Which the Following Are q2q ^ { 2 }q2

Find an Equation of Variation in Which the Following Are $q ^ { 2 }$