Sara is serving wings and burgers at her party. Wings cost $6.00 per serving and burgers are $3.00 each. Sara knows that at least 4 of her friends want wings. Sara must spend less than $45.00. Sara graphs a system of inequalities to determine how many servings of each kind of food she could serve to stay within her budget.
According to the dark blue area on the graph, which coordinate pair satisfies the system for the number of wing servings and burgers that Sara can serve?
Responses
A (5, 4)(5, 4)
B (2, 5)(2, 5)
C (8, 3)(8, 3)
D (6, 5)
Based on the information given, the dark blue area on the graph represents the feasible region, which represents the possible combinations of servings of wings and burgers that Sara can serve while staying within her budget. From the given coordinate pairs, only (8, 3) lies within the dark blue area. Therefore, the answer is C) (8, 3).
To determine which coordinate pair satisfies the system for the number of wing servings and burgers that Sara can serve, we need to find the point that lies within the dark blue area on the graph.
Looking at the answer choices:
A) (5, 4)
B) (2, 5)
C) (8, 3)
D) (6, 5)
The correct answer is D) (6, 5). This means Sara can serve 6 servings of wings and 5 burgers and stay within her budget.