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Is the price of a piece of cloth a function of the length of the cloth? Explain

Math 
MathMate,
Yes, the price of a piece of cloth of a given width is determined by the price (P)) per yard (metre) and the length (L) of the cloth.
Since the price per unit length (P) is usually a constant, so we can express the price of cloth as
Price of cloth = f(L) = P*L
which is a function of the length L.