Question

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

Which explains how the table can be used to predict the cost of any number of students attending the game?

A: 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.

B: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.

C: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.

D: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.

Answer 1

B: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.

Explanation:

Listing the entire set of numbers representing the number of students attending a basketball game and the cost, we would have an extremely large table.

This table has 4 entries for both x and y; this is a partial representation of a larger data set.

We can, however, use this data set to generate an equation. We start by finding the rate of change; every change in y is 25 and every change in x is 5, making the slope 25/5 = 5. We then work backward to find the y-intercept; at 0 students, there is 0 money. This gives us the equation

y = 5x. We can now use this equation to make a prediction for any number; this is a complete representation of the data set.