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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 = _______

Verified Answer :

luana

\(Volume\ V\ varies\ directly\ with\ length\ l\ proportion\ is\\\\ \frac{V}{l}=k\ \ |*l\\ V=kl\)

Answer:

\(V = kl\)

Step-by-step 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,

\(V = kl\)

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