Question

The doubling time of a population of flies is 5 hours. By what factor does the population increase in 24 ​hours? By what factor does the population increase in 3 weeks​?

Answer 1

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 × $2^{(\frac{t}{5})}$

So population after 24 hours $P=P'\times 2^{\frac{t}{5}}=P'\times2^{\frac{24}{5}}$

$p=p'\times 2^{4.8}=p'\times 27.86$

Now we have to calculate the population of flies after 3 weeks

$P=P'\times 2^{\frac{t}{5}}=P'\times2^{\frac{24\times 7\times 3}{5}}$

$p=p'\times 2^{100.8}=p'\times 2.21\times 10^{30}$