There is a body of water that starts with 1 square unit, and doubles in size every day (2 units after 2 days, 4 units after 4 days). It takes 100 days to fill up. How many days would it take to fill if you started with 2 square units?

Respuesta :

Answer:99 days

Step-by-step explanation:

Given

If one start with one square unit it takes 100 days

i.e. At second day it is 2 unit

third day [tex]2^2[/tex]

at n th day [tex]2^{n-1}[/tex]

at 100 day [tex]2^{99}[/tex] square unit

If we start with 2 square units it would take

[tex]2^n[/tex] for n days

[tex]2^n=2^{99}[/tex]

[tex]n=99\ days[/tex]