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* (b*c)/(d) When quantity d is tripled, we get`

`Q=k (b*c)/(3d) To be the relationship the same, we see that we need to`
`multiply /numerator / by /3`
`Q = k (3bc)/(3d) So the answer should be`

Answer 2

The product of c and b could be tripled.

Explanation:

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