Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. a sandwich costs $2, and hot lunch costs $3.

this system of inequalities models the scenario:

2x + 3y ≤ 15
x + y ≥ 3

part a: describe the graph of the system of inequalities, including shading and the types of lines graphed. provide a description of the solution set. (4 points)

part b: is the point (5, 1) included in the solution area for the system? justify your answer mathematically. (3 points)

part c: choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)