Question

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.(1 point) Responses 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. The initial value of 50 represents the one-time membership fee. The initial value of 35 represents the monthly fee.

Answer 1

The function $f(x)=35x+50$ represents the total cost of the gym membership after $x$ months, where:

• $35x$ is the total monthly fees (with 35 being the monthly fee multiplied by the number of months $x$).
• $50$ is the one-time membership fee.

The initial value of the function, which occurs when $x=0$, is $f(0)=35(0)+50=50$.

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

So the correct interpretation is: The initial value of 50 represents the one-time membership fee.