Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 9 - Section 9.4 - Variation and Problem Solving - Exercise Set - Page 664: 39

Answer

22.5 tons

Work Step by Step

weight = constant * width * height^2/length $12 = k*.5*1/3^2/10$ $12=.5k*1/9*1/10$ $12=.5k*1/90$ $12=1/2*k*1/90$ $12=k*1/180$ $12*180=k*1/180*180$ $2160 = k$ $w=2160*w*h^2/l$ 2/3 ft wide, 1/2 ft high, 16 ft long $w=2160*w*h^2/l$ $w=2160*2/3*1/2^2/16$ $w=2160*2/3*1/4*1/16$ $w=135*2/3*1/4$ $w=270/3*1/4$ $w=90*1/4$ $w=90/4$ $w=22.5$
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