Round your answer to two decimal places.
-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 $\mathrm { h } = 2$.
A) 24
B) 48
C) 6
D) 96

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 $k$. Substituting these values into the formula gives $81 = k(3)^2(3)$, leading to $k = 3$. To find $f$ when $q = 4$ and $h = 2$, substitute these values and $k = 3$ into the formula: $f = 3(4)^2(2) = 96$.

Round Your Answer to Two Decimal Places f\mathrm { f }f

Round Your Answer to Two Decimal Places $\mathrm { f }$