College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.10 - Modeling Variation - 1.10 Exercises: 35

Answer

(a) F=kx (b) k=7.5 (c) F=45 N

Work Step by Step

(a) Hooke's Law states that: $F=kx$ where $F$ is force and $x$ is distance stretched. (b) We are given $F=30$ and $x=9-5=4$ and can use this to find $k$: $30=k*4$ $k=30/4=7.5$ (c) We are given $x=11-5=6$ and need to find $F$: $F=7.5*6=45\ N$
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