Final answer:
The function that models this situation is a linear equation: y = 15 + 3x.
Step-by-step explanation:
The function that models the total number of members in the club after x years is y = 15 + 3x.
This is because the club starts with 15 members and adds 3 new members every year.
To find the total members after x years, you multiply the number of years by 3 and add the initial 15 members.