document.write( "Question 1151933: You are considering two job offers for selling TVs.
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document.write( "Job A pays $300 plus $9.00 per hour
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document.write( "Job B pays straight $12.50 per hour
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document.write( "How many hours would you have to work for job B to be BETTER? \n" );
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Algebra.Com's Answer #773801 by Theo(13342) You can put this solution on YOUR website! A pays 300 + 9 per hour. \n" ); document.write( "B pays 12.50 per hour. \n" ); document.write( "let x = number of hours. \n" ); document.write( "let rA = total pay from A. \n" ); document.write( "let rB = total pay frm B. \n" ); document.write( "you want to know the rB > rA (more pay is better). \n" ); document.write( "rB > rA when 12.50 * x > 300 + 9 * x. \n" ); document.write( "subtract 9x from both sides of this inequality to get: \n" ); document.write( "12.50 * x - 9 * x > 300 \n" ); document.write( "combine like terms to get: \n" ); document.write( "3.5 * x > 300 \n" ); document.write( "divide both sides of this inequality by 3.5 to get: \n" ); document.write( "x > 300 / 3.5 \n" ); document.write( "solve for x to get: \n" ); document.write( "x > 85.71428571. \n" ); document.write( "B will be better (total compensation is more) when the number of hours worked is greater than 85.71428571. \n" ); document.write( "if you're dealing with integer hours, then 86 is your answer. \n" ); document.write( "85 hours * 9 + 300 = 1065 total compensation. \n" ); document.write( "85 hours * 12.50 = 1062.5 total compensation. \n" ); document.write( "A is better. \n" ); document.write( "86 hours * 9 + 300 = 1074 total compensation. \n" ); document.write( "86 hours * 12.50 = 1075 total compensation. \n" ); document.write( "B is better. \n" ); document.write( "as the hours get higher than 85.71428571, B gets better and stays better.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |