An aquarium of height 1.5 feet is to have a volume of 12 ft3. Let x denote the length of the base and y the width.

a) express y as a function of x
b) Express the total number S of square feet of glass needed as a function of x.

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  1. volume = area of base * height
    x y = 12/1.5 = 8 ft^2

    y = 8/x

    base area = x y = 8
    end area = 2 xh = 3 x
    side area = 2 y h = 3 y = 3*8/x = 24/x

    total area = 8 + 3 x + 24/x

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    posted by Damon

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