College Algebra (6th Edition)

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

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.5 - Page 507: 64

Answer

please see the discussion in "work step by step"

Work Step by Step

Please see figure 4.24 on page 499. Assuming my salary will GROW with time, and that I plan to work for a long period of time, then the model with more rapid increase in time would be my choice. (An exponential model, 1st on the left in figure 4.24) If the salary grows, and I do not plan to stay around for a long time, I would prefer the rise in salary to be rapid in the beginning, and then stagnate with time, (because I would not be around to see it stagnate) so I would choose the 3rd model on the left in figure 4.24, a logarithmic model. -------------- If the salary was to decline (decay), I would choose neither, because I would quit and look for another job. But, if I had to, I would want the decline to be as gentle as possible at first... to give me time to find another job, so I would choose the exponential model (2nd on the left in figure 4.24).
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