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 proportionality for the group of boxes

Answer 1

ANSWER

The constant of proportionality is 24.

EXPLANATION

If the volume of a box (V) varies directly with it's length (l), then we can write the mathematical statement,

$V\propto l$

We introduce the constant of proportionality k, and write the equation,

$V = k l$

When V=288, l=12.

We substitute these values to obtain;

$288 = 12k$

Divide both sides by 12,

$k = \frac{288}{12} =24$

Answer 2

Answer: 24

Step-by-step explanation: got it righ