Question

The system of equations can be solved using linear ca snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. which inequality represents the possible ways nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?

1) 12 ≤ x + y
2) 12 ≥ x + y
3) 12 ≤ 2x + 3y
4) 12 ≥ 2x + 3y

Answer 1

The correct inequality that represents the ways Nina can consume 12 or more grams of protein, with cheese squares and turkey slices offering 2 and 3 grams of protein respectively, is 12 ≥ 2x + 3y.

Step-by-step explanation:

The question asks us to formulate an inequality representing the ways Nina can consume 12 or more grams of protein, given the protein content of cheese squares and turkey slices. Since each cheese square has 2 grams of protein, and each turkey slice has 3 grams of protein, the inequality must take into account the number of each item Nina eats, represented by x and y respectively. To ensure that Nina eats at least 12 grams of protein, we need to make sure that the total protein from cheese squares (2x) and turkey slices (3y) is equal to or greater than 12 grams. Therefore, the correct inequality is 12 ≤ 2x + 3y.

This can be understood by imagining combinations of cheese squares and turkey slices that meet or exceed 12 grams of protein. For example, if Nina only eats cheese squares (x), she would need to eat 6 of them (6 × 2 grams = 12 grams). If she only eats turkey slices (y), she would need only 4 (4 × 3 grams = 12 grams) to meet the minimum protein requirement. Combinations of both would also work, as long as the total protein is 12 grams or more. Hence, option 4 is the correct answer: 12 ≥ 2x + 3y.