Using the given exponential function, we have that:
Every minute, the number of bacteria decays by a factor of 0.98.
What is an exponential function?
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the function is, for the amounts each second:
[tex]Bs(t) = 6000\left(\frac{15}{16}\right)^{t}[/tex]
The initial amount is of 6000 bacteria. After 60 seconds = 1 minute, the amount will be of:
[tex]Bs(60) = 6000\left(\frac{15}{16}\right)^{60} = 125[/tex]
The decay factor after 1 minute is:
(6000 - 125)/6000 = 98% = 0.98.
More can be learned about exponential functions at https://brainly.com/question/25537936
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