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.

Respuesta :

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

Answer:

The product of c and b could be tripled.

Step-by-step explanation:

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