Question

100 POINTS, I RLLY NEED THE HELP
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

The solution to the graph is the very dark green region and the point (8, 2) is not included in the solution

Inequality

Inequality is the non equal comparison of two or more numbers and variables.

Let x represent the number of dry food and y represent the number of wet food, hence:

x + 3y ≤ 8

x + y ≥ 2

The solution to the graph is the very dark green region and the point (8, 2) is not included in the solution

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