Lisa is taking two classes at a local community college. She sets aside 21 hours for homework each week for these two classes. The classes are 4 hours each, once a week on Tuesday and Thursday. She wants to get a part-time job and ensure 8 hours of sleep each night. There are 168 hours in one week.

How many hours can she work at most each week? Write and solve an inequality to determine the maximum amount of time she can work each week.

The subject of your question is related to time management considering specific activities such as attending classes, doing homework, sleeping, and working part-time. Let us detail the time spent on each activity:

Attending classes: There are 2 classes of 4 hours each, so we have 2 * 4 = 8 hours per week.
Doing homework: Lisa sets aside 21 hours a week for homework tasks.
Sleeping: Lisa needs to ensure 8 hours of sleep each night, we have 8 * 7 = 56 hours per week.
Working part-time: Let's denote the number of hours she can work per week as 'w'.

Now your task is to sum up all these time expenditures and make sure they do not exceed 168 hours (which is the total number of hours in a week).

So, the inequality you should solve is: 8 (class hours) + 21 (homework hours) + 56 (sleep hours) + w (work hours) ≤ 168.

Solving this inequality gives: w ≤ 168 - 8 - 21 - 56 = 83 hours. Hence, Lisa could work at most 83 hours each week.

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nataliyachhawarese41 nataliyachhawarese41 · Answer 2 · 2024-02-12T22:31:01-05:00

Final answer:

Lisa can work a maximum of 83 hours per week in order to maintain her commitments to school and ensure 8 hours of sleep each night. The inequality to represent this scenario would be W <= 83, where W represents the number of work hours each week.

Explanation:

In this problem, Lisa is attempting to balance her commitments to her classes, her desire for a part-time job, and her need for sleep. The total hours in a week are 168. She spends 4 hours each week in class for a total of 8 hours, and an additional 21 hours are set aside for homework. The combined time spent on school work is 29 hours. Lisa also wants to maintain a healthy sleep schedule of 8 hours per night, equating to 56 hours per week.

To determine the maximum weekly hours she can work, we subtract the total number of hours spent on school and sleep from the total hours in a week. That is, 168 - (29 + 56) = 83 hours. Therefore, the inequality representing this scenario would be: W ≤ 83, where W represents the number of hours Lisa can work per week.

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