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

  • This can be represented by the exponential function:


    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:


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