The maximum weight M that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches and inversely proportional to its length L in feet.   (a) Write an equation that expresses this p

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The maximum weight M that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches and inversely proportional to its length L in feet.

 
(a) Write an equation that expresses this proportionality. (Use k as the constant of proportionality.)
 
 


(b) Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 18 ft long can support a weight of 2400 lb.
k =


(c) If a 10-ft beam made of the same material is 2 in. wide and 10 in. high, what is the maximum weight it can support?
lb
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