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 leas
t 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?
A) (5, 4)
B) (2, 5)
C) (8, 3)
D) (6, 5)
Just take a look at the intersection in the dark blue area. The only point that fits in that area is A) (5,4). And this makes sense, but let's check it anyways:
5 wing + 4 burger < 45
5(6) + 4(3) < 45
42 < 45. If she bought one more burger, she would be at $45, and the problem asked us to be under $45, so this is our answer.
