SOLUTION: "Fold a sheet of paper in half. You should have two layers. Fold it in half again so that there are four layers. Do this as many times as you can. Make a table and record the n

Question 418954: "Fold a sheet of paper in half. You should have two layers. Fold it in half again so that there are four layers. Do this as many times as you can. Make a table and record the number of folds and number of layers.
a. As you fold the paper in half each time, what happens to the number of layers?
b. Estimate the number of folds you would have to make before you have about the same number of layers as the number of sheets in this textbook (=361).
c. Calculate the answer for 12b. You may use a recursive routing, the graph or a table of an equation, or a trial-and-error method."
I would like to use a recursive routine.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a. As you fold the paper in half each time, what happens to the number of layers?
It gets multiplied by 2.
-------------------------------------
b. Estimate the number of folds you would have to make before you have about the same number of layers as the number of sheets in this textbook (=361).
2^0 = 1 page
2^1 = 2 pages
...
2^x = 361
xlog(2) = log(361)
x is between 8 and 9
---
8 folds gives less than 361 pages
9 folds gives more than 361 pages
=====
Cheers,
Stan H.
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c. Calculate the answer for 12b. You may use a recursive routing, the graph or a table of an equation, or a trial-and-error method."
I would like to use a recursive routine.

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