SOLUTION: Miles designs websites for local businesses. He charges $25 an hour to build a website and charges $15 an hour to update websites once he builds them. He wants to earn at least $10

Question 1172963: Miles designs websites for local businesses. He charges $25 an hour to build a website and charges $15 an hour to update websites once he builds them. He wants to earn at least $100 every week but he does not want to work more than 6 hours each week. Write a system of inequalities that models the scenario. Give one possible solution to the system
Answer by ikleyn(52873) (Show Source): You can put this solution on YOUR website!
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The system of inequalities is


    25x + 15y >= 100

      x +   y <=   6


where x are hours to build and y are hours to update.


The first inequality could be simplified, so the final system is


    5x + 3y >= 20

     x +  y <=  6


Usually, the conditions of non-negativity  x >= 0, Y >= 0 also are attached to the system.


One of possible solution is  x= 4, y= 0.


Another possible solution is x= 4, y= 1.


You can easily guess other possible solution/solutions.

Solved, answered, explained and completed.

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