Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario:
x + 3y - 8
x + y 22
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, 2) 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)