Answer:
Following are the solution to the given question:
Step-by-step explanation:
Initial number of users
[tex]N_0=100[/tex] [tex]\text{growth rate=doubles every seven days}[/tex]
[tex]100\% \longrightarrow 7\ days\\\\\frac{100}{100} \longrightarrow 7\ days\\\\1 \longrightarrow 7\ days\\\\[/tex]
When:
[tex]N=N_0\ 2^{rt}\\\\[/tex]
[tex]=100\times 2^{rt}\\\\=100\times 2^{t\cdot \frac{1}{7}}\\\\=100\times 2^{ \frac{t}{7}}\\\\[/tex]
Checking the value:
After 14 days:
[tex]N=100\times 2^{ \frac{14}{7}}=400\\\\100 \overset{100\ days}{\rightarrow} 200 \overset{7 \ days}{\rightarrow}\ 400[/tex]
