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1. 1. Illustrative Example 1:
2. 2. Reasoning tells us that 3 straight cuts would result to 6 pieces and 5 straight cuts to 10 pieces. In other words, pizza-cutting this way can be described by the linear function where is the number of straight cuts and , the number of pieces that result. The corresponding table is shown below
3. 3. Suppose what we want is the greatest number of pieces for the number of straight cuts we make. Drawing diagrams to find out, the results are shown below.
4. 4. You will observe that the corresponding table of values will differ from that of the equation
5. 5.  Use the table to get the greatest number of pieces for 6 straight cuts.
6. 6.  Make a guess of the relation between the variables. Observation of the entries in the table should have led you to see the following relations:
7. 7. Using for the number of straight cuts and for the maximum number of pieces, we get