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.

Answer 1

The initial value of the function is the y-intercept, in this case, it is the constant term of the function which is $50. This represents the one-time membership fee that Hector has to pay when he first joins the gym.

So, initially, Hector would have to pay $50 to join this gym, and then he would have to pay the monthly fee of $35 for each month he remains a member.