Final answer:
To find the maximum number of intersections when cutting a pie in half, the formula is n-1, where n is the number of cuts.
Step-by-step explanation:
To find the maximum number of intersections, we can start with the first cut, which divides the pie into two halves. The second cut will intersect with the first cut at one point, creating two new halves and one intersection. For each subsequent cut, the number of intersections will increase by one. Therefore, if you always cut the pie in half diameter, the maximum number of intersections you will cut is n-1, where n is the number of cuts.
For example, if you make one cut, there will be zero intersections. If you make two cuts, there will be one intersection. If you make three cuts, there will be two intersections. And so on.
Therefore, if you always cut the pie half in diameter, the maximum number of intersections you will cut is n-1.