Question

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.
A. The initial value of 50 represents the one-time membership fee.
B. The initial value of 50 represents the monthly fee.
C. The initial value of 35 represents the one-time membership fee.
D. The initial value of 35 represents the monthly fee.

Answer 1

A. The initial value is f(0) = 50, the y‑intercept, which is the one‑time membership fee. (The 35 is the monthly cost.)