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: 65

Answer

think of resources that are needed to sustain life (see examples in "step by step"

Work Step by Step

Exponential growth model: $A=A_{0}e^{kt} \quad (k>0)$ (where $A_{0}$ is the initial quantity, and $A$ is the quantity after time t) The growth is unlimited, Theoretically A can become arbitrarily large. --------------- In reality, population (people living on EARTH, bacteria in petri dish.. etc ) are bounded by the limited availability of (focusing on human populations) - food - unpolluted drinking water supply - health care facilities, - living quarters (hygiene) - ... other resources that are needed to sustain life.
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