The length of a pencil, l cm, varies directly with its mass m g and inversely with its area of cross section A cm square when m=4 and A=0.4 l=18

Respuesta :

The equation connecting L, m, A is L = [tex]\frac{1.8m}{A}[/tex]

What is a Variation?

Variation is a mathematical relationship that shows how a certain variable behaves when other variables depending on it increase or decrease.

The types of variation are: Direct, indirect, joint and partial.

Analysis:

L ∝ [tex]\frac{m}{A}[/tex]

introducing a constant K to replace the proportionality sign,

L = [tex]\frac{Km}{A}[/tex]

when L = 18, m = 0.4, A = 0.4

18 = [tex]\frac{K(4)}{0.4}[/tex]

4K = 0.4 x 18

k = 1.8

Therefore the equation connecting the three variables is,

L = [tex]\frac{1.8m}{A}[/tex]

Learn more about variation: brainly.com/question/6499629

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