SOLUTION: Define your variables and write the system of inequalities to describe the following situation.and graph the solution: Anna earns $4 an hour shoveling snow on weekends. She also ea

Question 174918: Define your variables and write the system of inequalities to describe the following situation.and graph the solution: Anna earns $4 an hour shoveling snow on weekends. She also earns $8 an hour babysitting. She needs to earn at least $200 per week, but she must work no more than 40 hours per week.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Define your variables
let x = babysitting hrs
Let y = snow shoveling hrs
:
and write the system of inequalities to describe the
following situation.and graph the solution: Anna earns $4 an hour shoveling
snow on weekends. She also earns $8 an hour babysitting. She needs to earn
at least $200 per week, but she must work no more than 40.
:
Total hrs equation:
x + y =< 40
y =< 40 - x; form for graphing (purple)
:
Total earnings equation
8x + 4y => 200
4y => 200 - 8x
divide eq by 4
y => 50 - 2x; green
:
Graph these two equations:

:
Note the area of feasibility are all positive values at or above the green line
and at or below the purple line.
:
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