Answer:
17,582
Step-by-step explanation:
Initial Population, [tex]P_o=2900[/tex]
Rate of Increase, r = 2
Doubling Time, d=5 Hours
P(t)=Population after t hours
[tex]P_t = P_0\cdot 2^{\frac{t}{d}}[/tex]
We want to determine the population of bacteria after 13 hours.
i.e When t=13 hours
[tex]P_t = P_0\cdot 2^{\frac{t}{d}}\\P_t = 2900\cdot 2^{13/5}\\P_t =17582[/tex]
The population after 13 hours is 17,582 to the nearest whole number.
