Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week. Write and graph a system of inequalities to represent this situation.

Question

Finley Galloway

Mathematics

20 February, 11:47

Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week. Write and graph a system of inequalities to represent this situation.

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Answers (1)

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Frances Friedman · Answer 1

Convert the task into an equation so that you can graph the situation:

According to the given information:

x+y≤13

7x+4y≥65

Here is the graph based on the equation

As you can see, to achieve set goal Mary can work 6 or 7 hours.