SOLUTION: Owen is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of member

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Owen is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of member      Log On


   



Question 1165246: Owen is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $200 for 2 months. Write an equation for C, in terms of t,
representing the total cost of the gym membership over t months.

Answer by mananth(16949) About Me  (Show Source):
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Owen is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $200 for 2 months. Write an equation for C, in terms of t,
representing the total cost of the gym membership over t months.
one-time fee -$100
Monthly fee - $ x
C = total cost =$ 200 for 2 months
The equation
C= 100+2x
200= 100+2x
200-100=2x
100= 2x
x= 50
General Equation
c= 100 + 50t
t is number of months