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Michael has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. Each cupcake costs $2, and each piece of fudge costs $1.
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
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.
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically.
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context.
Sagot :
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