Question

You work as a cashier for a bookstore and earn $6 per hour. You also baby sit and earn $6 per hour. You want to earn at least $60 per week, but would like to work no more than 12 hours per week.

Which system of inequalities, along with y ≥ 0 and x ≥ 0, would you use to solve the real-world problem?

Answer 1

To solve the problem, use the system of inequalities: x + y ≥ 0, x ≥ 0, y ≥ 0, 6x + 6y ≥ 60, and x + y ≤ 12.

Step-by-step explanation:

To solve the given real-world problem, the system of inequalities you would use is:

• x + y ≥ 0
• x ≥ 0
• y ≥ 0
• 6x + 6y ≥ 60
• x + y ≤ 12

These inequalities represent the conditions that need to be met: x and y (representing the number of hours worked as a cashier and as a babysitter, respectively) must be greater than or equal to 0, and the total income from both jobs (6x + 6y) must be greater than or equal to $60, and the total number of hours worked (x + y) must be less than or equal to 12.