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How To Eat

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Issue:

Miscellaneous

 

Written by:

Lisa K

 

Date added:

August 10, 2013

 

Level:

University

 

Grade:

B

 

No of pages / words:

2 / 298

 

Was viewed:

1358 times

 

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Essay content:

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...
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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. This pattern makes sense because of the observation that we made earlier. For example, when we added the fifth cut, it intersected the first four lines. Four lines in a figure makes five areas, and so drawing a line through the four lines creates 5 additional areas: Evaluation: However, since using addition isn’t very practical for finding P when C is large, we need a general function explaining P in terms of C...
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