39. Folding paper. Each time you fold an ordinary sheet of paper in half, you double the thickness.
a. A single sheet of 20-pound bond paper is about a tenth of a millimeter
thick. How would you come up with this estimate? (Hint: Paper often
comes in reams of 500 pages.)
b. Find an exponential formula that gives the thickness of the sheet of paper
in part a after
f
folds in millimeters and in kilometers.
c. What would be the thickness in kilometers if you were physically able to
fold it 50 times? Note: For comparison, the distance from Earth to the Sun
is about
149,600,000
kilometers.