document.write( "Question 1043491: Painters are often paid by the hour or on a per-job basis. The rate they receive can affect their working speed.For example, supose they can work for either $9.00 per hour or for $320 plus $3 for each hour less than 40 if they complete the job in less that 40 hours. Suppose the job will take t hours. If t is greater than or equal to 40 the hourly rate is better. If t<40, for what values of t is the hourly rate the better pay scale? \n" ); document.write( "
Algebra.Com's Answer #658647 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! let t=number of hours \n" ); document.write( "9t is one scale \n" ); document.write( "320+(40-t)3 is the other scale. \n" ); document.write( "For the job equaling 40 hours, the hourly rate is better, so at 40 hours, they make 40*$9 or $360. \n" ); document.write( "9t>320+(40-t)3 \n" ); document.write( "9t>320+120-3t \n" ); document.write( "12t>440 \n" ); document.write( "t>36 2/3 hours ANSWER\r \n" ); document.write( "\n" ); document.write( "At 36 hours, they make 36*$9=$324 hourly and $320+$12+$332 by the faster system. \n" ); document.write( "but at 37 hours, they make 37*$9=$333 hourly and $320+$9+$329 by the faster system. \n" ); document.write( " \n" ); document.write( " |