document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #129982 by ankor@dixie-net.com(22740)\"\" \"About 
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Define your variables
\n" ); document.write( "let x = babysitting hrs
\n" ); document.write( "Let y = snow shoveling hrs
\n" ); document.write( ":
\n" ); document.write( " and write the system of inequalities to describe the
\n" ); document.write( " following situation.and graph the solution: Anna earns $4 an hour shoveling
\n" ); document.write( " snow on weekends. She also earns $8 an hour babysitting. She needs to earn
\n" ); document.write( " at least $200 per week, but she must work no more than 40.
\n" ); document.write( ":
\n" ); document.write( "Total hrs equation:
\n" ); document.write( "x + y =< 40
\n" ); document.write( "y =< 40 - x; form for graphing (purple)
\n" ); document.write( ":
\n" ); document.write( "Total earnings equation
\n" ); document.write( "8x + 4y => 200
\n" ); document.write( "4y => 200 - 8x
\n" ); document.write( "divide eq by 4
\n" ); document.write( "y => 50 - 2x; green
\n" ); document.write( ":
\n" ); document.write( "Graph these two equations:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+45%2C+-10%2C+45%2C+40-x%2C+50-2x%29+\"
\n" ); document.write( ":
\n" ); document.write( "Note the area of feasibility are all positive values at or above the green line
\n" ); document.write( "and at or below the purple line.
\n" ); document.write( ":
\n" ); document.write( "Did this help? Any questions? \n" ); document.write( "
\n" );