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 ≥ 2

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)