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
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
Let's represent the number of half-hour appointments as 'x' and the number of 45-minute appointments as 'y'.
The doctor limits the appointments to at most 35 hours per week.
Since each half-hour appointment takes up 0.5 hours and each 45-minute appointment takes up 0.75 hours, the total time for the appointments can be represented as:
0.5x + 0.75y ≤ 35
Therefore, the inequality representing the number of half-hour appointments (x) and the number of 45-minute appointments (y) that the doctor may have in a week is:
0.5x + 0.75y ≤ 35
Let's break down the problem:
Let x represent the number of half-hour appointments per week.
Let y represent the number of 45-minute appointments per week.
A half-hour appointment takes 0.5 hours, while a 45-minute appointment takes 0.75 hours (since there are 60 minutes in an hour).
Given that the doctor limits these appointments to at most 35 hours per week, we can write the inequality as follows:
0.5x + 0.75y ≤ 35
This inequality ensures that the total time spent on half-hour appointments and 45-minute appointments combined does not exceed 35 hours in a week.