The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the bacteria population at time t. a represent the initial population at t = 0. Since the doubling period of a bacteria population is 10 minutes, hence:
[tex]y=a(2)^\frac{t}{10}[/tex]
At time t = 110 minutes, the bacterial population was 800. Hence:
[tex]800=a(2)^\frac{110}{10} \\\\a = 0.39[/tex]
At 4 hours (240 minutes):
[tex]y=0.39(2)^\frac{240}{10} =6553600[/tex]
The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600
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