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myrzilka [38]
2 years ago
8

2

Mathematics
1 answer:
Tju [1.3M]2 years ago
8 0

Answer:

<em>x + y ≤ 40</em>

<em>10x + 12 y ≥ 400</em>

<em>x ≥ 0</em>

<em>y ≥ 0</em>

Step-by-step explanation:

<u>System of Inequalities</u>

In order to model the situation stated in the problem, we'll call the following variables:

x = number of hours Sarah spends in the office

y = number of hours Sarah spends babysitting

She works for a maximum of 40 hours per week. This condition leads us to the inequality:

x + y ≤ 40

Her office job pays $12 per hour and her babysitting job pays $10 per hour.

She needs to make at least $400 per week in order to cover her expenses, thus:

10x + 12 y ≥ 400

Two obvious conditions could be added to the set of inequalities:

x ≥ 0

y ≥ 0

The system of inequalities is:

x + y ≤ 40

10x + 12 y ≥ 400

x ≥ 0

y ≥ 0

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