document.write( "Question 1024760: I am stuck on trying to figure out trying to write out the equation to solve it. It says Charlene is earning money to buy a new I-phone. She makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 each week. She can work no more than a total of 12 hours in a week. How many hours doing each jib will earn the most money each week? \n" ); document.write( "
Algebra.Com's Answer #640127 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
10x + 5y > or = 80
\n" ); document.write( "x + y < or = 12
\n" ); document.write( ":
\n" ); document.write( "solve each inequality for y
\n" ); document.write( ":
\n" ); document.write( "y > or = 16 -2x (red line)
\n" ); document.write( "y < or = 12 -x (green line)
\n" ); document.write( ":
\n" ); document.write( "consider the graph
\n" ); document.write( ":
\n" ); document.write( "\"+graph%28300%2C+200%2C+-2%2C+20%2C+-2%2C+15%2C+16+-2x%2C+12+-+x%29+\"
\n" ); document.write( ":
\n" ); document.write( "we consider the area of the graph where the two inequalities overlap
\n" ); document.write( ":
\n" ); document.write( "this is the area bounded by the three points (4,8), (8,0), (12,0) which represents money earned by Charlene
\n" ); document.write( ":
\n" ); document.write( "******************************************************************************
\n" ); document.write( "check each endpoint of the area
\n" ); document.write( "10(4) + 5(8) = 80
\n" ); document.write( "10(8) + 5(0) = 80
\n" ); document.write( "10(12) + 5(0) = 120
\n" ); document.write( ":
\n" ); document.write( "Charlene maximizes the money she earns in a week by working 12 hours babysitting and 0 hours gardening
\n" ); document.write( "******************************************************************************
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "
\n" );