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

Question

to model the cost of gym membership after x
months. Identify and interpret the initial value of the function.(1 point)
Responses

The initial value of 35 represents the monthly fee.
The initial value of 35 represents the monthly fee.

The initial value of 35 represents the one-time membership fee.
The initial value of 35 represents the one-time membership fee.

The initial value of 50 represents the monthly fee.
The initial value of 50 represents the monthly fee.

The initial value of 50 represents the one-time membership fee.

Answer 1

In the function \( f(x) = 35x + 50 \), the initial value is the constant term, which is 50. This represents the one-time membership fee that Hector must pay when he joins the gym.

So, the correct interpretation is:

The initial value of 50 represents the one-time membership fee.