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

Answer:

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

Step-by-step 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

$325 =k(13)\\k = \frac{325}{13}\\k = 25$

Hence,

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