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Bacteria are the most common example of exponential growth. Select a number
between 2 and 10 to represent the hourly growth rate of a certain bacteria. For
example, selecting the number 8 would mean that the amount of bacteria will be 8
times greater after every hour.

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In simple terms, Bacteria can be stated a large group of single-cell microorganisms and they can easily found everywhere which lack nucleus and organelles

Explanation:

  • The Bacterial growth can be stated as the  multiplication of bacteria into two daughter cells and this process is stated as binary fission
  • In simple terms, the exponential growth or rate of a bacteria is stated as the generation time
  • Mostly bacteria will grow based on  factors like air, temperature, etc
  • For example,  E.coli takes around fifteen to sixteen minutes  for growth and the bacteria coliform takes around twelve to twelve  four hours depends upon the factors

From single cell of bacteria the number becomes, 2, 8, 64, ... and so on.

Explanation:

Bacteria is one of the best examples that show exponential growth.

The equation that shows the exponential growth of bacteria is

N = N₀ X 2ⁿ

If we consider the growth of the bacteria starts from 1 cell then,

N = 1 X 2⁰

N= 1

In 1 hour, the cell number becomes,

N = 1 X 2¹

N = 2

In 2nd hour, the cell number becomes,

N = 2 X 2²

N = 8

In 3rd hour, the cell number becomes,

N = 8 X 2³

N = 64

The growth continues exponentially and then becomes stationary after a certain period of time when enough nutrients are not present.

Thus from single cell of bacteria the number becomes, 2, 8, 64, ... and so on.

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