Question

Please give a througho answer! I'm really stuck

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

Michelle can buy 1 serving of dry food and 2 servings of wet food

The description of the graph

The system of inequalities is given as:

x + 3y ≤ 8

x + y ≥ 2

The inequality symbols implies that the lines of the inequalities are close lines

Also, the upper and the lower parts of either inequality are shaded

See attachment for the graph of the system

Is the point (8,2) in the solution?

The point (8,2) is not in the shaded region of the system of inequalities.

This means that the point (8,2) is not in the solution

Interpret a point in the solution

The point (1,2) in the solution

This means that:

Michelle can buy 1 serving of dry food and 2 servings of wet food

Read more about inequalities at:

https://brainly.com/question/19526736

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