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.

Answer 1

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

Step-by-step 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