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Essay Details:
Essay text:
We were already given that 1 cut creates at most 2 pieces, 2 cuts create at most 4 pieces, and 3 cuts create at most 7 pieces. However, since these 3 sets of data are not enough to show us the pattern, we decided to obtain more data by drawing circles with 4 and 5 cuts.
Solution:
From our experimentation, we were able to finish the data table
Number of Cuts (C) Number of Pieces (P)
1 2
2 4
3 7
4 11
5 16
We notice that P is increasing in each case by C. For example, with C=2, P=The previous number + 2, and with C=3, P=The previous number + 3, and so on. So when C=10, P= 16+6+7+8+9+10 = 56...
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