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Omniguides
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Exponential decay

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Exponential decay

A special type of equation (also known as bert), represented by the formula A=Bert, where:

A= Amount left at a specific time

B= Initial amount

r= rate of decay

t= time of interest

Related Glossary Terms

Half-life

Index

Chapter 5 - FFR - Applications

Glossary and deeper reading · 1 refreshers

These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.

  • Exponential growth and decay

    An exponential growth or decay model makes a quantity’s instantaneous rate proportional to the quantity itself. The differential equation y′=ky gives y=Ceᵏˣ, with positive k describing growth and negative k describing decay for positive y. For example, a population with a constant relative growth rate doubles in equal time intervals. Its relative rate stays constant, while its absolute rate changes with the amount present.

    Read more: 7.8 · Exponential growth and decay →

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