Answer:
So the answer is after 24 hours population = 27.86 times
and after 3 weeks population = 2.21×10^30 times
Step-by-step explanation:
If the population of flies doubles in 5 hours then the series will be an exponential series represented by
New population = Initial population × [tex]2^{(\frac{t}{5})}[/tex]
So population after 24 hours [tex]P=P'\times 2^{\frac{t}{5}}=P'\times2^{\frac{24}{5}}[/tex]
[tex]p=p'\times 2^{4.8}=p'\times 27.86[/tex]
Now we have to calculate the population of flies after 3 weeks
[tex]P=P'\times 2^{\frac{t}{5}}=P'\times2^{\frac{24\times 7\times 3}{5}}[/tex]
[tex]p=p'\times 2^{100.8}=p'\times 2.21\times 10^{30}[/tex]