Answer :
The population of bacteria after 4 hours will be 10342400.
Define exponential equation.
Equations with exponent variables are known as exponential equations. For example, exponential equations are in the form ax=by . Use the equality of exponential functions property to solve exponential equations with the same base. Only if x=y does bx=by apply if b is a positive number other than 1 and other than 1. In the biological sciences, exponential functions are frequently employed to simulate the evolution of a certain quantity over time, such as population number. Experimental data graphs are often created with the quantity on the y-axis and the time on the x-axis.
Given,
The initial population count was 2525 bacteria.
Culture of bacteria that doubles in size every 30 minutes.
The exponential equation accurately captures the scenario.
p = 2525×2^(t/20) t in minutes; p is the number of people.
The population is at its peak after 4 hours (240 minutes).
Population after three hours:
p = 2525×2^(240/20)
p = 2525×2¹²
p = 10342400
The population of bacteria after 4 hours will be 10342400.
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