Problem: The Palmer High School Junior Civitans club is helping to build a play area for the kindergarten classes as their service project. Leah, the club president, needs to send club members to help build and paint the last set of swings but isn't sure how many workers are needed.   She knows that the length of time it takes to build and paint a set of swings is inversely proportional to the number of workers and that the previous week it took 6 workers 15 hours to build and paint a set of swings.  How many workers should Maddie send to build and paint the last set if they only have nine hours available in which to work?

Additional Requirement:

Be sure to show each step leading to the solution. Write a brief statement explaining why the number of workers should be rounded to the nearest whole number and which rounding is correct--rounding the solution up or rounding the solution down.