Complete question :
The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.
f(x)=25x+50
What does the number 25 represent?
A. the initial registration fee
B. the number of months that a person is a member
C. the monthly membership fee
D. the total amount that a member pays in fees
Answer:
C. the monthly membership fee
Explanation:
Given the function :
f(x)=25x+50
The function f(x) can be written thus :
Cost = (monthly membership fee * Number of months) + initial registration fee
Comparing the function with the linear equation model:
y = mx + c
50 corresponds to c (intercept) which is the initial registration fee being charged.
m = slope = monthly fee paid
Hence, 25 represents the monthly fee paid