rob works part time at the fallbrook riding stable. He makes $5 an hour exercising horses and $10 hour cleaning stalls

Question:- rob works part time at the fallbrook riding stable. He makes $5 an hour exercising horses and $10 hour cleaning stalls. Because Rob is a full time student he can work no more than 12 hours per week. however he must make $60 per week. write a system of inequalitites.

Answer

To express Rob’s time spent exercising horses and stalls cleaning, let x be the hours he spent on the former, and y be the hours he spent on the latter. The system of inequalities would be: x + y ≤ 12 (The weekly working hours cannot exceed 12 hours) 5x + 10y ≥ 60 (The total earnings do not drop lower than $60 per week) x ≥ 0, y ≥ 0 (The non-negative hours)