Two painters paint house. 1st $12 per hour. 2nd $11 per hour. Total cost

Question

Connor has hired two painters to paint his house. The first painter charges $12 per hour and the second painter charges $11 per hour. It will take 15 hours of labor to paint the house.

 

a. Write a polynomial to represent the total cost of the job if the first painter does x hours of the labor.

 

b. Write a polynomial to represent the total cost of the job if the second painter does y hours of the labor.

Answer 1

Cost = cost of first painter + cost of second painter

 

       = $12/hr * hours worked  + $11 * hours worked

 

    where x is the hours the first painter works

 

C(x) = 12 x + 11 ( 15 - x)

        = 12 x + 165 - 11x

 

         = x + 165

 

 

C(x,y) = 12 x + 11 y

 

    where y = 15  - x because the total hours is 15