Hector would like to join a gym that has a one-time membership fee plus a monthly fee. He can use the function f(x)=35x+50 to model the cost of gym membership after x months. Identify and interpret the initial value of the function

The initial value of the function is the constant term, which is $50.

In the context of this problem, the initial value of $50 represents the one-time membership fee that Hector has to pay when he initially joins the gym.