Respuesta :

Using an exponential function, it is found that there will be 32,768 bacteria after 3 hours.

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

  • a is the initial value.
  • b is the rate of change.
  • x is the number of time periods.

For this problem, the parameters are:

a = 8, b = 4.

3 hours is 6 periods of 30 minutes, hence the amount is:

[tex]y = 8 \times 4^6 = 32768[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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