Given:
original population of the bacteria = 55 000
growth rate = 15% per hour
time = 5 hrs
The population after t hours can be calculated using the formula:
[tex]\begin{gathered} P=P_Oe^{rt} \\ \text{Where P is the population after time t} \\ P_o\text{ is the original population} \\ r\text{ is the growth rate} \\ \text{and t is the time duration} \end{gathered}[/tex]Substituting the given values into the formula, we have the population of the bacteria after 5 hrs to be:
[tex]\begin{gathered} P\text{ = 55000}\times e^{0.15\times5} \\ =\text{ }116435.009 \end{gathered}[/tex]Hence, the population of the bacteria after 5 hours is 116435 bacteria
