Answer:
The solution in the attached figure
Step-by-step explanation:
<u><em>The question is</em></u>
Write and solve a system of inequalities that models this situation
Let
x ---> represent the number of hours Leah babysits
y ---> represent the number of hours Leah works at the ice cream shop
we know that
<em>Leah would like to earn at least 150 per month</em>
The term "at least" means "greater than or equal to"
so
----> inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line A is negative m=-5/6
The y-intercept of the solid line A is (0,12.5)
The x-intercept of the solid line A is (15,0)
Leah cannot work more than a total of 25 hours per month
----> inequality B
The solution of the inequality B is the shaded area below the solid line B
The slope of the solid line B is negative m=-1
The y-intercept of the solid line B is (0,25)
The x-intercept of the solid line B is (25,0)
using a graphing tool
The solution of the system of inequalities is the shaded area above the solid line A and below the solid line B
see the attached figure
