3 of 53 of 5 Items
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 monthly fee.
The initial value of 35 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 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.
1 answer
In the function \( f(x) = 35x + 50 \), \( x \) represents the number of months, while \( f(x) \) represents the total cost after those months.
The initial value of the function is the value of \( f(x) \) when \( x = 0 \). When \( x = 0 \):
\[ f(0) = 35(0) + 50 = 50 \]
Thus, the initial value of the function is 50, which represents the one-time membership fee.
Therefore, the correct response is:
The initial value of 50 represents the one-time membership fee.
