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(52855) (Show Source):
You can put this solution on YOUR website! .
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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