Question

Suppose you can work a total of no more than 38 hours each week at your two jobs. Housecleaning pays $7 per hour and your retail job pays $8 per hour. You need to earn at least $280 each week to pay your bills. Complete the system of linear inequalities to model this situation.

Answer 1

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Explanation:

Answer 2

The system of inequalities is:

7x + 8y ≥ 280

x + y ≤ 38

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)