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 = _______

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Luanaid Luanaid · Answer 1

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

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OrethaWilkisonid OrethaWilkisonid · Answer 2

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]