Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.12 - Modeling Variation - 1.12 Exercises - Page 128: 36

Answer

$(a)$ $C=kpm$ $(b)$ $k=\frac{1}{8}$ $(c)$ $C= \$57,500$

Work Step by Step

$(a)$ According to the problem, we have $C=kpm$ Where $k$ is the constant of proportionality. $(b)$ $C=\$60,000$ $p=120$ $m=4000$ $k$ is unknown $60000=k\times120\times4000$ $480000k=60000$ $k=\frac{1}{8}$ $(c)$ $m=5000$ $p=92$ $C$ is unknown $C=\frac{1}{8}\times 5000\times 92 = \$57,500$
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