Marcus is working at a local pizzeria where he makes $12.50 per hour and is also working at the university bookstore where he ma
kes $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.
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
