Sarah has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. each cupcake costs $2, and each piece of fudge costs $1.

this system of inequalities models the scenario:

2x + y ≤ 8
x + y ≥ 4

!
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 (8, 10) 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)