In this paper, we will analyze a real-life situation where the exponential function comes to play. The exponential function is very popular, and it can be used in a wide range of applications. Some of these applications of this function include carbon dating artefacts, modelling populations, computing investments, and also aiding in the determination of the possible time of death, among several other applications. The application that I have looked into in this paper is the analysis of population growth.
Scientists extensively make use of the exponential function to analyze the rate of growth in a given bacteria or animal population. For instance, if the population doubles or triples every two days, then this information can be represented using an exponential function. Similarly, the government can make use of the exponential function to make a projection of how the population is expected to change in a couple of years. Population growth models usually take place in two ways. The first one is whereby we have already been given the exponential function while the other one involves using the information provided to come up with an exponential equation. Most population models involve the use of the number e, and this makes the exponential function very handy.
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This application of the exponential function to analyze population growth is very helpful when it comes to decision making because it is possible to get the expected figures of the population in the years to come. For this reason, it is possible for the nation to budget and plan for the future and it also aids in the allocation of resources.