Marion babysits for $8.00 per hour and tutors for $6.00 per hour. She wants to make at least $150.00 each week, but her parents don't want her to work more than 15 hours a week. Write a system of inequalities to represen this situation. Select all that apply.
Let's create a system of inequalities to represent this situation.
Let x be the number of hours Marion babysits per week.
Let y be the number of hours Marion tutors per week.
We are given:
- Marion earns $8.00 per hour babysitting and $6.00 per hour tutoring.
- Marion wants to make at least $150.00 each week.
- Marion's parents don't want her to work more than 15 hours a week.
The inequalities are:
1. The total weekly earnings must be at least $150.00:
8x + 6y ≥ 150
2. The total hours worked per week must be less than or equal to 15:
x + y ≤ 15
Therefore, the correct inequalities to represent this situation are:
8x + 6y ≥ 150
x + y ≤ 15