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Sagot :
This is a geometric sequence problem.
The first term is 10 bacteria cells
and it grows 75% every hour.
It can be represented as :
[tex]n=n_1(1+r)^t[/tex]where n is the number of cells after t hours
n1 is the first term
and
r is the growth rate.
Substitute the following values :
n1 = 10
r = 75% or 0.75
t = 1 day which is equal to 24 hrs
The number of cells after 24 hours will be :
[tex]\begin{gathered} n=n_1(1+r)^t_{} \\ n=10(1+0.75)^{24} \\ n=10(1.75)^{24} \\ n=6,806,332.61 \end{gathered}[/tex]Therefore, the correct answer is Choice C. 6,806,333
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