SOLUTION: I need help in getting started with this word problem but do not know how to begin the set up of the equation. I would like to know the answer so I can figure out the solution. Wor

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Question 1019702: I need help in getting started with this word problem but do not know how to begin the set up of the equation. I would like to know the answer so I can figure out the solution. Word Problem: Two taxi companies have different pricing systems. Company A chargers a flat fee of $8 plus $0.10 per mile driven. Company B does not charge a flat fee, but charges $0.30 per mile driven. At what distance do both companies charge the same amount?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = price charged
Let +m+ = miles driven
------------------------
Equation for company A:
+p+=+8+%2B+.1m+
Equation for company B:
+p+=+.3m+
-------------------------
Make the prices equal
+8+%2B+.1m+=+.3m+
+.2m+=+8+
+m+=+40+
At a distance of 40 mi, both companies
charge the same amount
----------------------
Here are plots of price and distance driven
for both companies
+graph%28+400%2C+400%2C+-10%2C+50%2C+-5%2C+16%2C+.1x+%2B+8%2C+.3x+%29+