Answer :
Answer:
The constant of proportionality for the group of boxes is 25.
Step-by-step 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
[tex]325=13k\\\\\Rightarrow\ k=\frac{325}{13}\\\\\Rightarrow\ k=25[/tex]
Therefore, The constant of proportionality for the group of boxes is 25.