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 = ________

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Accepted 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 = klAccording 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.

Suggested Answer

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