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Essay text:
Include any diagrams you used to find the solution such as an In-Out table, or any patterns you found.
Process-
The first thing I did to try to find my solution was to finish the In-Out table given, which already told us the maximum number of pieces that could be made with 1, 2 and 3 cuts. So I drew two circles, and drew in four cuts in one and five cuts in another to find the maximum number of pieces that could be produced. After several circles for each I found that the maximum number of pieces you can produce from four cuts is 11, and the maximum number of pieces for five cuts is 15.
In-Out Table
In-X (Number of cuts) Out-Y (Maximum # of pieces)
1 2
2 4
3 7
4 11
5 16
So instead of trying to do the same thing t find out the maximum number of pieces for 10 cuts, I started looking for a pattern...
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