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 432: 36

Answer

A year then will feel as 4 months now (1/3 of a year).

Work Step by Step

Let t be perceived time, and a be the age of a person. t is shorter (less) as a is greater, t varies inversely as a,$\displaystyle \qquad t=\frac{k}{a}$ If the age a becomes $3a$, the new time perceived, $t_{2}$ is $t_{2}=\displaystyle \frac{k}{(3a)}=\frac{1}{3}(\frac{k}{a})=\frac{1}{3}t$ (the time perceived then will sem as $\displaystyle \frac{1}{3}$ of time perceived now). A year then will feel as 4 months now (1/3 of a year).
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