The correct explanation for how the table can be used to predict the cost of any number of students attending the game is:
The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
This is because the table shows a consistent pattern between the number of students (x) and the total cost (y), which suggests a linear relationship. From the given data points, you can derive a formula (equation) that describes the relationship, enabling you to predict the total cost for any number of students. In this case, the relationship can be observed as \( y = 5x \), where for every additional student, the cost increases by $5.