Let's define the function for Hector's gym membership cost. Let x represent the number of months Hector plans to be a member.
The one-time membership fee is a fixed cost. Let's say it is M dollars.
The monthly fee is a recurring cost, payable every month. Let's say it is R dollars per month.
To calculate the total cost for Hector to join the gym, we can use the following equation:
Total Cost = One-time Membership Fee + Monthly Fee * Number of Months
The equation in mathematical notation can be represented as:
C(x) = M + R * x
where C(x) represents the total cost as a function of the number of months x.
Hector would like to join a gym that has one-time membership fee plus a monthly fee he can use the function
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