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?

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

---> equation A

----> inequality B

----> inequality C

using a graphing tool

The feasible region for her schedule is the triangular shaded area

see the attached figure

10 * 563.67 = 5636.7

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)