Problema Solution
The number of cells in a tumor doubles every 4.54.5 months. If the tumor begins with a single cell, how many cells will there be after 22 years? after 44 years?
Answer provided by our tutors
Start: 1 cell
After 4.5 months: 2^1
After 2*4.5 months: 2^2
After n*4.5 months: 2^n
Since 22 years = 22*12 months = 264 months = (264/4.5)*4.5 months
After 22 years = (264/4.5)*4.5 months: 2^(264/4.5) = 4.6*(10^17) cells
Since 44 years = 44*12 months = 528 months = (528/4.5)*4.5 months
After 44 years = (528/4.5)*4.5 months: 2^(528/4.5) = 2.1*(10^35) cells