Let x represent the number of half-hour appointments and y represent the number of 45-minute appointments that the doctor may have in a week.
Since each half-hour appointment takes 0.5 hours and each 45-minute appointment takes 0.75 hours, the total time spent on half-hour appointments will be 0.5x hours and the total time spent on 45-minute appointments will be 0.75y hours.
Since the doctor limits the appointments to at most 35 hours per week, the inequality representing this condition is:
0.5x + 0.75y ≤ 35
a doctor's office schedules half-hour appointments and 45 minute appointments for weekday the doctor limits these appointment to at most 35 hours per week write an inequality to represent the number of half-hour appointments x and number of 45- minute appointment at the doctor may have in a week
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