Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.
This system of equations models the scenario:
4x+2y ≤ 16
x+yz4
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set.
Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically.
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context.