Question

The quantity a varies directly with b and c and inversely with d. The quantity d is tripled. Which of the following must be true for the relationship to remain the same? Both c and b must be tripled. The product of c and b must be tripled. Both c and b must be multiplied by 1/3. The product of c and b must be multiplied by 1/3.

Answer 1

Lets name the quantity Q
$Q=k* \frac{b*c}{d} When quantity d is tripled, we get$
$Q=k \frac{b*c}{3d} To be the relationship the same, we see that we need to$ $multiply /numerator / by /3$$Q = k \frac{3bc}{3d} So the answer should be "The product of c and b must be tripled."$