# Imp 2- Pow 17 Cutting The Pie

This essay Imp 2- Pow 17 Cutting The Pie is available for you on Essays24.com! Search Term Papers, College Essay Examples and Free Essays on Essays24.com - full papers database.

Autor:   •  April 30, 2011  •  1,354 Words (6 Pages)  •  1,067 Views

Page 1 of 6

POW 17- Cutting the Pie

Problem Statement-

If you were given a pie what is the maximum number of pieces you can produce from 4, 5, and 10 cuts? Keep in mind, that the slices do not have to be the same size and the cuts do not necessarily have to go through the center of the pie, but the cuts do have to be straight and go all the way across the pie. 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

[(xÐ'Ð† + x)/2] + 1

Solution-

The largest number of pieces for 4 cuts is 11, the largest number of pieces for 5 cuts is 15, and finally the largest number of pieces for 10 cuts is 56. The formula I used to find these answers was (xÐ'Ð† + x)/2] + 1) . Steps done-

[(4Ð'Ð† + 4)/2] + 1= [(5Ð'Ð† + 5)/2] + 1= [(10Ð'Ð† + 10)/2] + 1=

...

Download as:   txt (6.9 Kb)   pdf (97.9 Kb)   docx (11 Kb)
Continue for 5 more pages »
Only available on Essays24.com