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

Question

2 years ago

11

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.

Mathematics

1 answer:

Vinvika [58] · Answer 1 · 2022-08-21T03:55:06+03:00

Vinvika [58]2 years ago

8 0

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."$