Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 424: 22

Answer

The Moon weight of a person who weighs 186 pounds on Earth is 31 pounds.

Work Step by Step

An object’s weight on the Moon M, varies directly as its weight on Earth E. So, $M=kE$ Now, substitute 360 pounds for E and 60 pounds for M in the equation $M=kE$ to solve for k. $60=k\times 360$ $0.1666=k$ Substitute $0.1666=k$ in the equation, $M=kE$ to get, $M=0.1666\times E$. Now, substitute 186 feet for B in $M=0.3333\times E$ and solve for M, that is, $M=0.1666\times 186=31$
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