SOLUTION: You are trying to decide how to use your 10 days of vacation and $1000 vacation budget. You want to do a combination of camping stays and hotel stays. You know that a camping trip

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are trying to decide how to use your 10 days of vacation and $1000 vacation budget. You want to do a combination of camping stays and hotel stays. You know that a camping trip       Log On


   



Question 939445: You are trying to decide how to use your 10 days of vacation and $1000 vacation budget. You want to do a combination of camping stays and hotel stays. You know that a camping trip will take 4 days and will cost $100. A hotel stay will take 2 days and will cost $300.
How would I write a system linear inequalities for this and then plot the system of inequalities and find the solution space that tell you how many each type of stay you can plan and still stay within your time and cost budget?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of camping stays
Let +y+ = number of hotel stays
--------------------------------
(1) +4x+%2B+2y+%3C=+10+
(2) +100x+%2B+300y+%3C=1000+
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Plot +y+ on the vertical, +x+ on the horizontal
(1) +2y+%3C=+-4x+%2B+10+
(1) +y+%3C=+-2x+%2B+5+
and
(2) +300y+%3C=+-100x+%2B+1000+
(2) +y+%3C=+-%281%2F3%29%2Ax+%2B+10%2F3+
-----------------------------
Here are the plots, and the solution space is the
space which is under both lines