Research on "How the exponential growth and decay present in the real world"
Answers
Answer:
There really are no examples of positive exponential growth in the physical universe. Things can grow approximately exponentially for a while, but they always hit some limit.
Contrary to popular belief, “exponential” does not mean fast. It means the growth rate is proportional to the size. That almost always means slow, not fast, since it’s small things that can grow exponentially, and since growth rate is proportional to size, exponential growth in small things is slow.
As the thing grows, its growth rate increases, but there are limits. In a pandemic, for example, initially each infected person might infect an average of two other people over an infectious period of a week. That causes the number of new infections to double every week. But soon that is limited. So many of the people in areas of infection have already been infected—or possibly died or are immune—that newly infected people cannot find the average of two people to infect. If nothing else, you run out of people.
So after the exponential phase, there is a phase when the rate of growth is still increasing, but not increasing as fast as the size. That hits a maximum, and the rate of growth begins to slow. A typical pattern is a Gompertz function
Step-by-step explanation:
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Answer:
Exponential functions tracks continuous growth over the course of time. The common real world examples are bacteria growth, compound interest and radioactive decay.
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