Question

A doctor's office schedules 10-minute and 20-minute appointments. The doctor also completes paperworkfor four hours each weekday (Mon.-Fri.). Suppose the doctor limits these activities to, at most, 30 hours per week. Write an inequality to represent the number of each type of office visit she may have in a week. Let x represent the number of 10-minute appointments and y the number of 20-minute appointments (Hint 1. Be sure that when writing and solving the inequality that all units are the same.. either ALL hours or ALL minutes.)

(Hint 2: Don't forget to include the four hours per day of paperwork into your inequality.)

Answer 1

To represent the number of each type of office visit the doctor may have in a week, we can use the following inequality: 10x + 20y + 4(60) ≤ 30. In this inequality, x represents the number of 10-minute appointments and y represents the number of 20-minute appointments.

Step-by-step explanation:

To represent the number of each type of office visit the doctor may have in a week, we can use the following inequality:

10x + 20y + 4(60) ≤ 30

In this inequality, x represents the number of 10-minute appointments and y represents the number of 20-minute appointments. We include 4(60) to account for the four hours of paperwork each weekday. Since there are 60 minutes in an hour, 4 hours is equal to 4(60) minutes. The inequality states that the total time spent on appointments and paperwork in minutes cannot exceed 30 hours in a week.