Question

The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of 13 inches what is the costant of proportionality for the group of boxes

Answer 1

The constant of proportionality for the group of boxes is: 25

Explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

`V = kl`

Putting V = 325 and l = 13

`325 =k(13)\\k = (325)/(13)\\k = 25`

Hence,

The constant of proportionality for the group of boxes is: 25