How are exponential growth and decay present in the real world? Give at least 2 examples for exponential growth and 2 examples of exponential decay.

Since this is not my area of expertise, I searched Google under the key words "exponential growth and decay" to get these possible sources:

https://www.google.com/search?client=safari&rls=en&q=exponential+growth+and+decay&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.

http://www.hackcollege.com/blog/2011/11/23/infographic-get-more-out-of-google.html

Exponential growth and decay are common phenomena found in various aspects of the real world. Here are two examples each for both exponential growth and decay:

Exponential Growth:
1. Population Growth: A classic example of exponential growth is population growth. When a population has plentiful resources and a high birth rate, the population can increase rapidly over time. Each individual can lead to the birth of multiple offspring, resulting in exponential growth as the population expands.
To study and quantify this growth, demographic data can be collected over a specific period, and mathematical models, such as the exponential growth model, can be applied to forecast future population trends.

2. Compound Interest: Compound interest is another example of exponential growth. When you invest money in an interest-bearing account, the interest you earn compounds over time, meaning it is added to the initial amount, and subsequent interest is calculated based on this new total. As time progresses, the interest earned increases exponentially, resulting in significant growth in your investment over an extended period.

Exponential Decay:
1. Radioactive Decay: Radioactive materials undergo exponential decay. The process of radioactive decay occurs when the unstable atomic nuclei of certain elements break down naturally over time and release radiation. The rate of decay follows an exponential decay model, meaning that the amount of radioactive material decreases rapidly at first but eventually slows down.

2. Carbon-14 Dating: Carbon-14 dating is a technique used to determine the age of archaeological artifacts and fossils. The process relies on the principle that the concentration of carbon-14, a radioactive isotope of carbon, decreases over time due to its decay. By measuring the remaining amount of carbon-14, scientists can estimate the approximate age of the object, using the exponential decay formula.

These are just a few examples of how exponential growth and decay occur in the real world. By understanding these concepts and applying relevant mathematical models, scientists, economists, and other professionals can predict and analyze various phenomena and outcomes.