Question

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?

Answer 1

see the explanation

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

`x+y\leq 36` ---> equation A

`x\geq 10` ----> inequality B

`y\geq 12` ----> inequality C

using a graphing tool

The feasible region for her schedule is the triangular shaded area

see the attached figure