Answer:
49 days
Step-by-step explanation:
The spread of the disease is modeled as
[tex]n = 200 \sqrt{t}[/tex]
where n = number of infected people
t = time (in days)
When the number of infected people is 1400, the number of days t will be:
[tex]1400 = 200\sqrt{t}\\ \\1400 / 200 = \sqrt{t}\\\\7 = \sqrt{t}\\\\=> t = 7^2 = 49[/tex]
It will take 49 days for the number of infected people to reach 1400.
