What are exponential functions used for in real life?

What are exponential functions used for in real life?

Exponential functions are often used to represent real-world applications, such as bacterial growth/decay, population growth/decline, and compound interest. Suppose you are studying the effects of an antibiotic on a certain bacteria.

What are some real life examples of exponential growth?

10 Real Life Examples Of Exponential Growth

  • Microorganisms in Culture. During a pathology test in the hospital, a pathologist follows the concept of exponential growth to grow the microorganism extracted from the sample.
  • Spoilage of Food.
  • Human Population.
  • Compound Interest.
  • Pandemics.
  • Ebola Epidemic.
  • Invasive Species.
  • Fire.

What are exponential and logarithmic functions used for?

Three of the most common applications of exponential and logarithmic functions have to do with interest earned on an investment, population growth, and carbon dating.

What is an example of exponential growth in real life?

One of the best examples of exponential growth is observed in bacteria. It takes bacteria roughly an hour to reproduce through prokaryotic fission. If we placed 100 bacteria in an environment and recorded the population size each hour, we would observe exponential growth.

What decays exponentially in real life?

Radioactive Decay Radioactive decay of the isotopes of radioactive elements is a prominent example of exponential decay in real life.

What is an example of an exponential graph?

An exponential growth function can be written in the form y = abx where a > 0 and b > 1. The graph will curve upward, as shown in the example of f(x) = 2x below. Notice that as x approaches negative infinity, the numbers become increasingly small.

In what real life situations would you find the application of solving problems involving exponential equations useful?

Compound interest, loudness of sound, population increase, population decrease or radioactive decay are all applications of exponential functions. In these problems, we’ll use the methods of constructing a table and identifying a pattern to help us devise a plan for solving the problems.

What is the importance of exponential growth and decay in the life of human being?

One of the most important examples of exponential decay in medical science is elimination or metabolism of medicines and drugs from human body. If a drug or medicine stays for longer time period in human body than desired then it may cause poisonous effect in human body.

What are some common examples of exponential functions?

An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.