The revenue from selling x shirts is r(x) = 11x. the cost of buying x shirts is c(x) = 6x + 20. the profit from selling x shirts is p(x) = r(x) – c(x). what is p(x)? multiple choice: a. p(x) = 17x + 20 b. p(x) = 17x – 20 c. p(x) = 5x + 20 d. p(x) = 5x – 20

The answer is:  [D]:  "p(x) =  5x – 20" .

Explanation:

"What is p(x) ? "

 "p(x) = r(x) – c(x)" 

   r(x) = 11x ;

   c(x) = 6x + 20 ;

p(x) = 11x – (6x + 20)

       = 11x  – 1(6x + 20)

       = 11x – (1*6x)  +  (-1* 20)

       = 11x – 6x + (-20)
   
       = 11x – 6x – 20

       =  5x – 20 ;

p(x) =  5x – 20 ;  which is:  "Answer choice:  [D]" .