Question

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)

Answer 1

Answer:

v

Step-by-step explanation:

Answer 2

Answer:

Step-by-step

Part A: The graph would be shade below the line, also the line would be solid.

Part B: No because 8+3x2 is not less than or equal to 8.

Part C: (2,2) is an answer. It means that you can buy 2 serving of dry dog food if it cost $1 and 2 severing of wet dog food if it costs $3.