Exponential Growth and Decay

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High School Math based on the topics required for the Regents Exam conducted by NYSED. How to solve Exponential Growth and Decay Word Problems?

The following diagram shows the formula for an exponential growth problem given the growth rate. Scroll down the page for more examples and solutions exponential growth problems.
Exponential Growth Problem

An Exponential Growth Problem
Some basics about exponential functions, and two problems related to exponential growth.

Exponential Decay / Finding Half Life
Find the half life of a substance that is decreasing annually by 4%.

Exponential Decay Example
The following is a basic example of the exponential decay formula.
A study found that a car depreciates 15% per year. If the car was purchased for $15,000, how much is it worth after 4 years?

Exponential Growth and Decay
Exponential decay refers to an amount of substance decreasing exponentially. Exponential decay is a type of exponential function where instead of having a variable in the base of the function, it is in the exponent. Exponential decay and exponential growth are used in carbon dating and other real-life applications.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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