The Load L That a Horizontal Beam Can Safely Support

Multiple Choice

The load L that a horizontal beam can safely support varies jointly as the width w and the square of the depth d . If a beam with width 2 inches and depth 12 inches safely supports up to 798 pounds, how many pounds can a beam of the same length that has a width of 4 inches and depth 10 inches be expected to support? Round to the nearest pound. Assume the two beams are made of the same material.

A) 884 lbs
B) 776 lbs
C) 1209 lbs
D) 1108 lbs
E) 443 lbs