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 506: 58

Answer

...by the sign of the exponent in the exponential model

Work Step by Step

Exponential growth and decay models are given by $A=A_{0}e^{kt}$ in which $t$ represents time, $A_{0}$ is the amount present at $t=0$, and $A$ is the amount present at time $t$. If $k>0$, the model describes growth and $k$ is the growth rate. If $k<0$, the model describes decay and $k$ is the decay rate. ------- So, we recognize a growth or decay model by the sign of the exponent in the exponential model.
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