A rectangular box is to have a square base and a volume of 40 ft3. The material for the base costs 40¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 30¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box. A rectangular box is shown. The base of the box has length and width each labeled x. The height of the box is labeled y. f(x) =

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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A rectangular box is to have a square base and a volume of 40 ft3. The material for the base costs 40¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 30¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
A rectangular box is shown. The base of the box has length and width each labeled x. The height of the box is labeled y.
f(x) =
 
 
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