SOLUTION: a health club has two payment plans. you can become a member by paying 1000 and use the gym for 500 a visit or you can use the gym as a nonmember for 700 a visit. compare the cost

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a health club has two payment plans. you can become a member by paying 1000 and use the gym for 500 a visit or you can use the gym as a nonmember for 700 a visit. compare the cost       Log On


   

Question 1090945: a health club has two payment plans. you can become a member by paying 1000 and use the gym for 500 a visit or you can use the gym as a nonmember for 700 a visit. compare the cost of two payment plans. find the number of visit for when the plans would cost the same
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = the cost for +n+ visits
(1) +C+=+1000+%2B+500n+
(2) +C+=+700n+
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Set the costs equal to eachother
+1000+%2B+500n+=+700n+
+200n+=+1000+
+n+=+5+
At 5 visits the costs are equal
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check:
(1) +C+=+1000+%2B+500%2A5+
(1) +C+=+3500+
and
(2) +C+=+700%2A5+
(2) +C+=+3500+
OK