SOLUTION: Delilah wants to join a gym, so she shops around to find the one with the lowest overall price (she is not sure how long she will be a member). She finds the Harbor Square Athletic

Algebra ->  Equations -> SOLUTION: Delilah wants to join a gym, so she shops around to find the one with the lowest overall price (she is not sure how long she will be a member). She finds the Harbor Square Athletic      Log On


   



Question 1140263: Delilah wants to join a gym, so she shops around to find the one with the lowest overall price (she is not sure how long she will be a member). She finds the Harbor Square Athletic Club is running a special, and only charges a $25 initiation fee plus $87 a month to be a member. The local YMCA charges $100 to join, and has a monthly fee of $72.

Found 2 solutions by greenestamps, josmiceli:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = the cost of a plan
Let +n+ = number of months belonging to a plan
(1) +C+=+25+%2B+87n+
(2) +C+=+100+%2B+72n+
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(2) starts out costing more. Set (1) equal to (2)
to find the point where (1) starts costing more.
+25+%2B+87n+=+100+%2B+72n+
+15n+=+75+
+n+=+5+
After 5 months, (1) will start costing more
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check:
+25+%2B+87%2A5+=+100+%2B+72%2A5+
+25+%2B+435+=+100+%2B+360+
+460+=+460+
OK