Mathematics · Linear Inequalities
Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $640 per week, and senior directors, who will be paid $880 per week. Her budget for paying the staff members is no more than $9,700 per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if x is the number of junior directors and y is the number of senior directors?
- 1y ≤ 1 640x + 880y ≥ 9,700 x + y ≥ 10 x ≥ 3
- 2y ≤ 1 640x + 880y ≤ 9,700 x + y ≤ 10 x ≤ 3
- 3y ≥ 1 640x + 880y ≥ 9,700 x + y ≥ 10 x ≤ 3
- 4y ≥ 1 640x + 880y ≤ 9,700 x + y ≥ 10 x ≥ 3✓
Correct answer
y ≥ 1 640x + 880y ≤ 9,700 x + y ≥ 10 x ≥ 3
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