this process is modeled by the next formula:
[tex]P(t)=P_0(2)^{\frac{t}{t2}}[/tex]where P(t) is the population after time t, P0 is the initial population, and t2 is the time needed by the population to double.
Substituting with P0 = 550,000, t = 208, and t2 = 52, we get:
[tex]\begin{gathered} P(t)=550,000(2)^{\frac{208}{52}} \\ P(t)=550,000(2)^4 \\ P(t)=550,000\cdot16 \\ P(t)=8,800,000 \end{gathered}[/tex]The population will be 8,800,000
