Use the five steps for problem solving to answer the following question. Please show all of your work.The Hansons are considering two possible vacation destinations. A trip out west will cost $1075 in total airfare plus an average of $450 per day in expenses. A trip south will cost $1500 in total airfare plus an average of $365 per day in expenses. How many days should they stay so that a trip south is cheaper than a trip west?Dear student, please refer to the attachment for the solution. Thank You.Problem: Use the five steps for problem solving to answer the following question. Please show all of your work. The Hansons are considering two possible vacation destinations. A trip out west will cost $1075 in total airfare plus an average of $450 per day in expenses. A trip south will cost $1500 in total airfare plus an average of $365 per day in expenses. How many days should they stay so that a trip south is cheaper than a trip west?
Solution:
Let the number of days be x.
The trip to west will cost:
The trip to south will cost
According to the condition of the given problem, Hence, the number of days of stay should be greater than 5 so that a trip south is cheaper than a trip west.
Check:
For x = 6,
The trip to west will cost:
The trip to south will cost
Thus, for x = 6, a trip to south is cheaper than a trip west.




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