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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?

SAT · Math · previous-year question

  1. A.$640 x+880 y \geq 9,700$ $x+y \leq 10$ $x \geq 3$ $y \geq 1$
  2. B.$640 x+880 y \leq 9,700$ $x+y \geq 10$ $x \geq 3$ $y \geq 1$
  3. C.$640 x+880 y \geq 9,700$ $x+y \geq 10$ $x \leq 3$ $y \leq 1$
  4. D.$640 x+880 y \leq 9,700$ $x+y \leq 10$ $x \leq 3$ $y \leq 1$

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