Solve.
-Suppose that $Q$ is jointly proportional to $R$ and the square of $S$. If $Q = 16$ when $R = 2$ and $S = 2$, find Q when $R = 6$ and $S = 3$.
A) 18
B) 12
C) 108
D) 36

Question

Quizplus · Accepted Answer

Since $Q$ is jointly proportional to $R$ and $S^2$, we can write $Q = kRS^2$ for some constant $k$. Given $Q = 16$ when $R = 2$ and $S = 2$, we find $k$ by substituting these values: $16 = k \cdot 2 \cdot 2^2$, which simplifies to $16 = 8k$, so $k = 2$. To find $Q$ when $R = 6$ and $S = 3$, substitute these values into the original equation with $k = 2$: $Q = 2 \cdot 6 \cdot 3^2 = 2 \cdot 6 \cdot 9 = 108$.

Solve -Suppose That QQQ Is Jointly Proportional To RRR And the Square Of

Solve
-Suppose That $Q$ Is Jointly Proportional To $R$ And the Square Of