College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.7 - Page 431: 27



Work Step by Step

Solving Variation Problems (see p. 424) 1. $\ \ $Write an equation that models the given English statement. 2. $\ \ $Substitute the given pair of values into the equation in step 1 and find the value of k, the constant of variation. 3. $\ \ $Substitute the value of k into the equation in step 1. 4. $\ \ $Use the equation from step 3 to answer the problem's question. ----------- Let B be the banking angle , r the radius of the turn (ft). 1. B varies inversely as $r,\ \displaystyle \qquad B=\frac{k}{r}$ 2. $28=\displaystyle \frac{k}{4}\qquad /\times 4$ $112=k$ 3. $B=\displaystyle \frac{112}{r}$ 4. $r=3.5, B=?$ $B=\displaystyle \frac{112}{3.5}=\frac{1120}{35}=32^{\circ}$
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