Question

Complete the following item based on the given information.

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 constant of proportionality for the group of boxes?
k = ________

Answer 1

k = 325/13
..............................................

Answer 2

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

Explanation:

Given : 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.

To find : What is the constant of proportionality for the group of boxes?

Solution :

The volume of a box(V) varies directly with its length(l).

Using k for the constant of proportionality.

We can express the relationship between V and l

If V varies directly with l.

V = kl

According to question,

If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then

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

Therefore, The constant of proportionality for the group of boxes is 25.