A nursing student works at a doctor’s office for $15 per hour and tutors other students for $25 per hour. The student cannot work more than 20 hours each week. The student wants to earn at least $375 each week. Define two variables and write a system of inequalities that represents the given constraints.Suppose the student wants to work at the doctor’s office for as many hours as possible for the experience, and suppose the student can only work a whole number of hours at the doctor’s office. How many hours should the student work at the doctor’s office each week? Let x represent the number of hours in one week that the student works at the doctor’s office, and let y represent the number of hours the student tutors. The system of inequalities is

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.6: Systems Of Inequalities

Problem 48PFA

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A nursing student works at a doctor’s office for $15 per hour and tutors other students for $25 per hour.

The student cannot work more than 20 hours each week.

The student wants to earn at least $375 each week.

Define two variables and write a system of inequalities that represents the given constraints.
Suppose the student wants to work at the doctor’s office for as many hours as possible for the experience, and suppose the student can only work a whole number of hours at the doctor’s office. How many hours should the student work at the doctor’s office each week?

Let x represent the number of hours in one week that the student works at the doctor’s office, and let y represent the number of hours the student tutors.

The system of inequalities is

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