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, how many burgers could Sara serve if she serves wings to 7 guests? Responses A 00 B 11 C 22 D 3
In the graph, the dark blue area represents the area where the total cost of the food is less than $45. The cost of each wing serving is $6, and the cost of each burger is $3.
If Sara serves wings to 7 guests, the cost of the wings will be 7 * $6 = $<<7*6=42>>42.
To stay within her budget of $45, the cost of the burgers must be less than $45 - $42 = $3.
Since the cost of each burger is $3, Sara can serve up to $3 / $3 = 1 burger.
Therefore, Sara can serve a maximum of 1 burger if she serves wings to 7 guests.
The correct answer is B) 11.