The total time for half-hour appointments, in hours, is equal to 0.5x.
The total time for 45-minute appointments, in hours, is equal to (45/60)y = 0.75y.
Since the doctor limits the total appointment time to 35 hours per week, we can write the inequality as:
0.5x + 0.75y ≤ 35.
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.
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