Final answer:
The total number of members in the club after x years can be modeled by the linear function f(x) = 15 + 3x, where x is the number of years.
Step-by-step explanation:
The situation described in the question can be modeled by a linear function.
The initial number of members in the club is 15, and each year 3 new members are inducted.
We can express the total number of members in the club after x years with the function f(x) = 15 + 3x.
To find the total number of members after x years, we simply plug the number of years into the function.
For example, if we want to find the total number of members after 5 years, we plug in x=5 to get f(5) = 15 + 3(5) = 15 + 15 = 30 members.