Final answer:
A linear function is represented by a table where there is a constant rate of change between the x and y values. The table with the points (1,5), (2,10), (3,7), and (4,14) represents a linear function.
Step-by-step explanation:
A linear function is represented by a table where the relationship between the dependent variable (y) and the independent variable (x) is constant. This means that for every value of x, there is a unique value of y that can be determined using a constant rate of change. In the given tables, the table that represents a linear function is the one with the points (1,5), (2,10), (3,7), and (4,14), where the rate of change between consecutive x values is constant.