# Exponential growth and decay problems

## Exponential growth & decay word problems Exponential growth and decay word problems - Algebra II - Khan Academy

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Sections: Log-based word problems , exponential-based word problems. The above formula is related to the compound-interest formula , and represents the case of the interest being compounded "continuously". Note that the variables may change from one problem to another, or from one context to another, but that the structure of the equation is always the same. For instance, all of the following represent the same relationship:. No matter the particular letters used, the green variable stands for the ending amount, the blue variable stands for the beginning amount, the red variable stands for the growth or decay constant, and the purple variable stands for time.

Exponential Growth and Decay. Exponential growth can be amazing! The idea is that something grows in relation to its current value, such as always doubling.
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In Algebra 1, the following two function formulas were used to easily illustrate the concepts of growth and decay in applied situations. If a quantity grows by a fixed percent at regular intervals, the pattern can be depicted by these functions. Example 1: The population of HomeTown is was estimated to be 35, people with an annual rate of increase of 2. The growth factor is 1. Remember that growth factor is greater than 1. Most naturally occurring phenomena grow continuously. For example, bacteria will continue to grow over a 24 hours period, producing new bacteria which will also grow.

## Exponential Equations: Exponential Growth and Decay Application

If you're seeing this message, it means we're having trouble loading external resources on our website., In real-world applications, we need to model the behavior of a function. In mathematical modeling, we choose a familiar general function with properties that suggest that it will model the real-world phenomenon we wish to analyze.

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