SOLUTION: You are planning a trip. You cannot be gone more than 8 days. You have two hotels from which to choose. Hotel A is a 4-star hotel and costs $125 per night and Hotel B is a 3-sta

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are planning a trip. You cannot be gone more than 8 days. You have two hotels from which to choose. Hotel A is a 4-star hotel and costs $125 per night and Hotel B is a 3-sta      Log On


   

Question 1068133: You are planning a trip. You cannot be gone more than 8 days. You have two hotels from which to choose. Hotel A is a 4-star hotel and costs $125 per night and Hotel B is a 3-star hotel and costs $80 per night. You cannot spend more than $800 on hotels. Write a system of inequalities to model this situation. Then graph the system.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of nights in hotel A and Y the number of nights in hotel B.
X%2BY%3C8 - Total number of nights
125X%2B80Y%3C800 - Total cost of the hotels
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The inequality is really only valid for the black dots not the entire region.
You can't stay at a hotel for 2.2 nights you can only stay at a hotel for an integer number of nights.