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Write and graph a system of inequalities that models the situation. Miranda just got an after school job at a kiosk. She's planning out how much time she needs
for her job, and how much time she needs for school. She wants to work at least 10 hours a
week at the kiosk, and at least 12 hours a week on homework/studying. After deducting time in
school, Miranda has about 36 hours of free-time a week (including weekends). What is the
feasible region for her schedule?

Respuesta :

calculista

Answer:

see the explanation

Step-by-step explanation:

Let

x ------> the number of hours needed for the work at the kiosk

y ------> the number of hours needed for the work on homework/studying

we know that

[tex]x+y\leq 36[/tex] ---> equation A

[tex]x\geq 10[/tex] ----> inequality B

[tex]y\geq 12[/tex] ----> inequality C

using a graphing tool

The feasible region for her schedule is the triangular shaded area

see the attached figure

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