The table below shows the total cost of admittance to a basketball game, y, for x students.

x
y
5
$25
10
$50
15
$75
20
$100

Which explains how the table can be used to predict the cost of any number of students attending the game?
The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
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.
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x-column.
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y-column.

1 answer

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.