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.

Question

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 (2, 5)
B (5, 4)
C (8, 3)
D (6, 5)

Answer 1

The dark blue area on the graph represents the feasible region, where the system of inequalities is satisfied. Based on the graph, it appears that the coordinate pair that falls within the dark blue area is (5,4). Therefore, the answer is B. (5,4) represents 5 servings of wings and 4 burgers, which would cost a total of $42.00, staying within Sara's budget of $45.00.