SAT Mathematics Practice Test 7

Marisa will hire x junior directors and y senior directors. Since she needs to hire at least 10 staff members, $\mathit{x}+\mathit{y}\ge 10$. Each junior director will be paid $\mathrm{\$}640$ per week, and each senior director will be paid $\mathrm{\$}880$ per week. Marisa’s budget for paying the new staff is no more than $\mathrm{\$}9,700$ per week; in terms of x and y, this condition is 640x + 880y ≤ 9,700. Since Marisa must hire at least 3 junior directors and at least 1 senior director, it follows that $\mathit{x}\ge 3$ and $\mathit{y}\ge 1$. All four of these conditions are represented correctly in choice B.