Question

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? 4,225 25 1/25

Answer 1

V⇔l
V=kl

V₁= 235 in³

 l = 13 in

235=k 13

k=235/13

4225=k25

k=169

25=k1/25

k=625

Answer 2

Answer:  25

Step-by-step explanation:

We know that if y (dependent variable) varies directly with x(Independent variable) then the equation for direct variation is given by :-

$y=kx$, where k is the proportionality constant.

Since, it is given that the  volume ( dependent variable )  of a box(V) varies directly with its length(l) (independent variable) , then the equation will be

$V=kl$, where k is the proportionality constant.

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

$325=13k\\\Rightarrow\ k=\frac{325}{13}\\\Rightarrow\ k=25$

Hence, the constant of proportionality for the group of boxes = 25