Question

A doctor’s office schedules 15-minute appointments and half-hour appointments for weekdays. The doctor limits these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.

Answer 1

.25x + .5y < 30
.25 = 1/4 of an hour, or 15 minutes
.5 = 1/2 of an hour, or 30 minutes