SOLUTION: Hi, there is this question that had been stumping me for a while. You can become a member of a gym for $400 a year, and pay $5 every time you go. Or, you can not be a member and

Algebra ->  Linear-equations -> SOLUTION: Hi, there is this question that had been stumping me for a while. You can become a member of a gym for $400 a year, and pay $5 every time you go. Or, you can not be a member and       Log On


   



Question 543545: Hi, there is this question that had been stumping me for a while.
You can become a member of a gym for $400 a year, and pay $5 every time you go.
Or, you can not be a member and pay $4 for a workout and $10 to use equipment. How many times should you go to the gym to make being a member worth it?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of times you go to gym
For member:
Cost = +400+%2B+5n+
For non-member:
Cost = +4n+%2B+10n+
Set the two costs equal to each other
+400+%2B+5n+=+14n+
+9n+=+400+
+n+=+44.444+
It looks like you have to go 45 times to make
being a member worth the money
Here's a plot of the lines:
( red is line for membership )
+graph%28+400%2C+400%2C+-5%2C+50%2C+-50%2C+750%2C+5x+%2B+400%2C+14x+%29+