Using an exponential function, it is found that:
An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
The parameters for this problem are given as follows:
a = 2, b = 2.
Hence the number of bacteria after x hours is given by:
[tex]y = 2(2)^x[/tex]
After 6 hours, the amount is:
[tex]y = 2(2)^6 = 2^7 = 128[/tex]
After 24 hours, the amount is:
[tex]y = 2(2)^{24} = 2^{25} = 33554432[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
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