Answer:
<u>The system of inequalities is:</u>
<u>7x + 8y ≥ 280</u>
<u>x + y ≤ 38</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Amount of weekly hours you can work, no more than 38 hours (≤ 38)
Rate at housecleaning per hour = US$ 7
Rate at retail job per hour = US$ 8
Salary per week, at least US$ 280 (≥ 280)
2. Complete the system of linear inequalities to model this situation.
x = Number of hours per week worked at housecleaning job
y = Number of hours per week worked at retail job
Now, we have:
7x + 8y ≥ 280 (Total of salary of the two jobs should be at least US$ 280), where 7x is the salary received from housecleaning job and 8y is the salary received from retail job
x + y ≤ 38 (You can't work more than 38 hours per week)
