Marcus is working at a local pizzeria where he makes $12.50 per hour and is also working at the university bookstore where he makes $9.50 per hour. He must make at least $300 per week to cover his expenses but cannot work more than 30 hours per week in order to attend classes. Write a system of inequalities that models this situation where p represents the hours he works at the pizzeria and b represents the hours he works at the bookstore.

Question

Lena Franco

Mathematics

3 June, 15:12

Marcus is working at a local pizzeria where he makes $12.50 per hour and is also working at the university bookstore where he makes $9.50 per hour. He must make at least $300 per week to cover his expenses but cannot work more than 30 hours per week in order to attend classes. Write a system of inequalities that models this situation where p represents the hours he works at the pizzeria and b represents the hours he works at the bookstore.

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Beard · Answer 1

Answer: The system of inequalities that models this situation are

p + b ≤ 30

12.5p + 9.5b ≥ 300

Step-by-step explanation:

Let p represent the number of hours he works at the pizzeria.

Let b represent the number of hours he works at the bookstore.

He cannot work more than 30 hours per week in order to attend classes. This means that

p + b ≤ 30

Marcus is working at a local pizzeria where he makes $12.50 per hour and is also working at the university bookstore where he makes $9.50 per hour. He must make at least $300 per week to cover his expenses. This means that

12.5p + 9.5b ≥ 300