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:[tex]V = kl[/tex]Step-by-step explanation:The direct variation states:if [tex]y \propto x[/tex] , then the equation is in the form of:[tex]y=kx[/tex]; where k is the constant of proportionality.As per the statement:The volume of a box(V) varies directly with its length(l).⇒[tex]V \propto l[/tex]Using the above definition we have;[tex]V = kl[/tex]where, k represents for the constant of proportionality.Therefore, the relationship between V and l if V varies directly with l is, [tex]V = kl[/tex]

[tex]Volume\ V\ varies\ directly\ with\ length\ l\ proportion\ is\\\\
\frac{V}{l}=k\ \ |*l\\
V=kl[/tex]