A doctor’s office schedules half-hour appointments and 45-minute appointments for weekdays. The doctor limits these appointments to, at most, 35 hours per week. Write an inequality to represent the number of half-hour appointments, x, and the number of 45-minute appointments, y, the doctor may have in a week.

1 answer

The inequality that represents the number of half-hour appointments, x, and the number of 45-minute appointments, y, the doctor may have in a week is:

30x + 45y ≤ 35 hours.