Final answer:
The linear equation for the number of purses Cecilia collects is y = 5x + 25.
Step-by-step explanation:
In this case, Cecilia's collection of purses can be represented by a linear equation. Let x be the number of years that have passed since Cecilia started collecting. She currently has 25 purses, and she collects 5 purses per year. This means that the number of purses she has can be represented by the equation y = 5x + 25.