# MATH

While traveling for vacation, you have decided to divide your lodging between a resort and a regular stay hotel. Let x represent the number of nights you will spend in a resort and let y represent the number of nights you will spend in a regular stay hotel.
A) Write a system of inequalities that models the following conditions:
1) You want to stay at least 5 nights
2) At least one night will be spent at a resort
3) Resorts average \$200 per night and regular stay hotels average \$100 per night. Your budget does not exceed \$700 for lodging
B) How do I graph the solution set of my system of inequalities?
C) How many nights can you spend at resort and stay within your budget?

1. google linear programming

posted by Damon
2. posted by Damon
3. Can you just do the step by steps to get to the answers please? I have the answers with me, but want to double check the work and answers please!!!!!!

posted by Anonymous

4. on axis system draw x = 1 vertical line, must be to right

draw y = 5-x
must be to right , intersect at (1,4)

draw y = 7 -2 x must be to left
(this is from 200 x100 y <=700)
that hits x = 1 at y = 5
it hits y = 5-x at
7-2x = 5-x
x = 2
That is the biggest x that works

posted by Damon

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