document.write( "Question 422620: Jake would like to hire a clown to perform at her son's birthday party. Clown City charges $100 for incidentals plus $30 per hour for hiring a clown to perform. Party Preformers charges $120 for incidentals plus $25 per hour. How many hours would Jake need to plan on so that Party Performers is less expensive than Clown City? \n" ); document.write( "
Algebra.Com's Answer #294958 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jake would like to hire a clown to perform at her son's birthday party. \n" ); document.write( "Clown City charges $100 for incidentals plus $30 per hour for hiring a clown to perform. \n" ); document.write( "---- \n" ); document.write( "C(x) = 100 + 30x dollars \n" ); document.write( "----------------------------------- \n" ); document.write( "Party Performers charges $120 for incidentals plus $25 per hour. \n" ); document.write( "P(x) = 120 + 25x dollars \n" ); document.write( "----------------------------------- \n" ); document.write( "How many hours would Jake need to plan on so that Party Performers is less expensive than Clown City? \n" ); document.write( "Solve: \n" ); document.write( "P(x) < C(x) \n" ); document.write( "120+25x < 100+30x \n" ); document.write( "20 < 5x \n" ); document.write( "x > 4 hrs \n" ); document.write( "======================= \n" ); document.write( " |