Problema Solution
A piece of paper that is 0.25 millimeters thick is folded. Write an equation for the thickness of the paper in millimeters as a function of the number of folds. If the paper could be folded in half 25 times how thick would it be?
Answer provided by our tutors
After 1 fold the thickness will be: 0.25*2
After 2 folds the thickness will be: 0.25*2*2 = 0.25*2^2
After 3 folds the thickness will be: 0.25*2^2*2 = 0.25*2^3
After n fold the thickness will be: 0.25*2^n
The equation of the function is:
t(n) = 0.25*2^n, where n is the number of folds
If the paper could be folded in half 25 times how thick would it be?
This means we need to find t(n) for n = 25:
t(25) = 0.25*2^25
t(25) = 838,860.8 mm
After 25 folds the paper will be 838,860.8 millimeters thick.