Question
The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant of proportionality for the group of boxes?
Answers
GPT 3.5
To find the constant of proportionality, we use the formula for direct variation:
V = kl
Where V is the volume, k is the constant of proportionality, and l is the length.
Given that V = 288 cubic inches and l = 12 inches, we can plug in these values into the formula:
288 = k(12)
To solve for k, divide both sides by 12:
k = 288/12
k = 24
Therefore, the constant of proportionality for the group of boxes is 24.
V = kl
Where V is the volume, k is the constant of proportionality, and l is the length.
Given that V = 288 cubic inches and l = 12 inches, we can plug in these values into the formula:
288 = k(12)
To solve for k, divide both sides by 12:
k = 288/12
k = 24
Therefore, the constant of proportionality for the group of boxes is 24.