Question
15 A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.
Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?
B 2x + 6y <= 120
A 6x + 2y < 120
D 2x + 6y >= 120
C 6x + 2y >
Q
Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?
B 2x + 6y <= 120
A 6x + 2y < 120
D 2x + 6y >= 120
C 6x + 2y >
Q
Answers
GPT-4o mini
To represent the situation mathematically, we need to consider the weights of the items being cooked on the grill.
Let:
- \( x \) = number of sausage links (each weighing 2 lb)
- \( y \) = number of briskets (each weighing 6 lb)
The total weight of the sausage links will be \( 2x \) lb, and the total weight of the briskets will be \( 6y \) lb.
According to the problem, the total weight of sausage links and briskets combined must not exceed 120 lb. This gives us the inequality:
\[
2x + 6y \leq 120
\]
Thus, the correct inequality that represents all possible combinations of sausage links and briskets that will be cooked on the grill is:
**B** \( 2x + 6y \leq 120 \)
Let:
- \( x \) = number of sausage links (each weighing 2 lb)
- \( y \) = number of briskets (each weighing 6 lb)
The total weight of the sausage links will be \( 2x \) lb, and the total weight of the briskets will be \( 6y \) lb.
According to the problem, the total weight of sausage links and briskets combined must not exceed 120 lb. This gives us the inequality:
\[
2x + 6y \leq 120
\]
Thus, the correct inequality that represents all possible combinations of sausage links and briskets that will be cooked on the grill is:
**B** \( 2x + 6y \leq 120 \)