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 50 represents the monthly fee.

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

The initial value of 35 represents the monthly fee.

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

Answer 1

The correct interpretation is:

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

In the function \( f(x) = 35x + 50 \), the term \( 50 \) is the constant, which indicates the initial cost incurred before any monthly fees (where \( x \) would represent the number of months). Hence, it represents the one-time membership fee.