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.