Final answer:
The equation that shows the relationship between the number of weeks (w) and the total number of quizzes is Total number of quizzes = 1 + (5w).
Step-by-step explanation:
To write an equation that shows the relationship between the number of weeks w and the total number of quizzes, we need to consider the quizzes already taken (1) and the quizzes expected in each week (5).
So, the equation would be: Total number of quizzes = Quizzes already taken + (Quizzes for each week * Number of weeks)
Substituting the given values, the equation becomes: Total number of quizzes = 1 + (5w)