Question

Complete the following item based on the given information.

The volume of a box(V) varies directly with its length(l). Using k for the constant of proportionality, express the relationship between V and l if V varies directly with l.
V = _______

Answer 1

`Volume\ V\ varies\ directly\ with\ length\ l\ proportion\ is\\\\ (V)/(l)=k\ \ |*l\\ V=kl`

Answer 2

`V = kl`

Explanation:

The direct variation states:

if
`y \propto x` , then the equation is in the form of:

`y=kx`; where k is the constant of proportionality.

As per the statement:

The volume of a box(V) varies directly with its length(l).

⇒
`V \propto l`

Using the above definition we have;

`V = kl`

where,

k represents for the constant of proportionality.

Therefore, the relationship between V and l if V varies directly with l is,

`V = kl`