Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices
Mathematics
masonvillegas9
Question
Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.
1 Answer

1. User Answers raphealnwobi
This can be represented by the exponential function:
[tex]P=378(2)^\frac{t}{36}[/tex]
An exponential function is in the form:
y = abĖ£
where y, x are variables, a is the initial value of y and b is the factor.
Let P represent the population of the bacteria after t minutes.
Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:
[tex]P=378(2)^\frac{t}{36}[/tex]
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