Answer:
In 6.4 days the size of the population will be tripled.
Step-by-step explanation:
Let the equation be [tex]A=Pe^{rt}[/tex]
Given that the population doubles every 4 days.
It means, A becomes 2P in 4 days.
[tex]2P=Pe^{r(4)}\\\\2=e^{4r}\\\\\ln2=4r\\\\r=\frac{1}{4}\ln2\\\\r\approx 0.1733[/tex]
Now, we have to find time t, when A becomes 3P.
[tex]3P=Pe^{0.1733t}\\\\3=e^{0.1733t}\\\\\ln3=0.1733t\\\\t=\frac{1}{0.1733}\ln3\\\\t\approx6.4[/tex]
Therefore, in 6.4 days the size of the population will be tripled.
