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lolilovepie
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Homework Statement
A small office unit is to contain 500 feet sq of floor space.
(a) Express the length y of the building as a function of the width x.
(b) If the walls cost $100 per running foot, express the cost
C of the walls as a function of the width x. (Disregard the wall space above the doors and the thickness of the walls.)
Homework Equations
The Attempt at a Solution
I kept getting a different answer then the back in the book. :\
(a) Area=xy, so 500=xy, y=500/x
(b) Perimeter=2(x+y), so perimeter=2(x+500/x)=2((x^2+500)/x). The cost C is $100*perimeter, so C=$100*2((x^2+500)/x)=200((x^2+500)/x)
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