You work two jobs. you earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. your combined earnings this month are $178.50. let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. graph the equation that models this situation

First we define the variables as they are written in the problem statement.
 x = represent the number of hours worked stocking shelves
 y = represent the number of hours worked in sales
 We write the equation:
 11.90y + 10.50x = 178.50 
 Observe that the equation represents a line of negative slope. 
  
 See graphic in attached image.