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Question

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.

(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

(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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Math

Algebra

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