a student works no more than 25 hours each week at a part-time job. what would be the inequality that represents how many hours the student can work each day?

7x >= 25

To represent how many hours the student can work each day, we need to consider that the student works no more than 25 hours each week.

Since there are 7 days in a week, we can divide the total weekly hours (25) by 7 to get the average daily hours.

Let's say D represents the number of hours the student can work each day. The inequality that represents how many hours the student can work each day is:

D ≤ 25/7

Therefore, the inequality is D ≤ 3.5714 (rounded to four decimal places).

To represent the number of hours a student can work each day, we need to divide the total weekly hours worked by the number of days in a week. Let's assume there are 7 days in a week.

Step 1: Find the number of hours worked each day.
Since the student works no more than 25 hours each week, divide 25 by 7 to find the daily limit:
25 hours / 7 days = 3.57 hours (rounded to 2 decimal places)

Step 2: Represent the inequality.
The student can work no more than 3.57 hours each day. Since it's not possible to work a fraction of an hour, we can round down to 3 hours per day.

So, the inequality representing the number of hours the student can work each day would be:
x ≤ 3, where x represents the number of hours worked per day.