![]() ![]() If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses theĬreative Commons Attribution-NonCommercial-ShareAlike License Notice that in an exponential growth model, we have These systems follow a model of the form y = y 0 e k t, y = y 0 e k t, where y 0 y 0 represents the initial state of the system and k k is a positive constant, called the growth constant. ![]() In this section, we examine exponential growth and decay in the context of some of these applications. From population growth and continuously compounded interest to radioactive decay and Newton’s law of cooling, exponential functions are ubiquitous in nature. Exponential growth and decay show up in a host of natural applications. One of the most prevalent applications of exponential functions involves growth and decay models.
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