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?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! let t=number of hours
9t is one scale
320+(40-t)3 is the other scale.
For the job equaling 40 hours, the hourly rate is better, so at 40 hours, they make 40*$9 or $360.
9t>320+(40-t)3
9t>320+120-3t
12t>440
t>36 2/3 hours ANSWER
At 36 hours, they make 36*$9=$324 hourly and $320+$12+$332 by the faster system.
but at 37 hours, they make 37*$9=$333 hourly and $320+$9+$329 by the faster system.
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