Answer:
The constant of proportionality for the box is 6.
Step-by-step explanation:
Given : The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inches.
We have to find the constant of proportionality for the box.
Since, The volume of a box (V) varies directly with its length (l)
Mathematically written as V ∝ l
For removing proportionality, we multiply a proportionality constant k,
Thus, the equation V ∝ l
Becomes V = k l
Also given volume of 90 cubic inches and a length of 15 inches.
Substitute, V = 90 , and l = 15
We have,
90 = k (15)
Divide both side by 15, we get,
k = 6
Thus, the constant of proportionality for the box is 6.
