SOLUTION: One video rental club charges $45 to become a member and $1.50 to rent each video. Another charges no membership fee, but charges $3.30 to rent each video. Write an equation to sol

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One video rental club charges $45 to become a member and $1.50 to rent each video. Another charges no membership fee, but charges $3.30 to rent each video. Write an equation to sol      Log On


   

Question 889117: One video rental club charges $45 to become a member and $1.50 to rent each video. Another charges no membership fee, but charges $3.30 to rent each video. Write an equation to solve for how many videos you must rent for the two clubs to be equal.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of videos rented
Let +C+ = cost to rent +n+ videos
1st rental club:
+C+=+45+%2B+1.5n+
2nd rental club:
+C+=+3.3n+
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Make the costs equal:
+45+%2B+1.5n+=+3.3n+
+1.8n+=+45+
+n+=+25+
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When 25 videos are rented, the costs are equal
Here's the Costs for the 2 clubs plotted:
+graph%28+400%2C+400%2C+-5%2C+30%2C+-10%2C+100%2C+1.5x+%2B+45%2C+3.3x+%29+