Which table represents a linear function?

Answer

A table represents a linear function if the change in y values as the x value increases is always constant. For example, in a table with pairs (1, 3), (2, 6), (3, 9), the y value increases by 3 for each increase of 1 in the x value.

Explanation

A table represents a linear function if the rate of change between any two points is constant. This means that for every incremental change in the x-axis (independent variable), the change in the y-axis (dependent variable) remains uniform. For example, suppose you have a table with the following x, y pairs: (1, 3), (2, 6), (3, 9). The difference in y values as x increases by 1 is always 3, hence confirming the table represents a linear function.