Final answer:
In order for a set of ordered pairs to represent a linear function, the y-values should change at a constant rate as the x-values increase. Based on this analysis, set A {(-2,8), (0, 4), (2, 3), (4,2)} could represent a linear function.
Step-by-step explanation:
In order for a set of ordered pairs to represent a linear function, the y-values for each pair should change at a constant rate as the x-values increase. Let's analyze each set of ordered pairs: A: The y-values change from 8 to 4 to 3 to 2, indicating a constant rate of change, so this set could represent a linear function. B: The x-value is constant at 1, but the y-values change, indicating a non-linear function. Therefore, this set could not represent a linear function. C: The y-values change from 7 to 12, but the x-values are not given, making it impossible to determine if the change is at a constant rate. Therefore, this set could not represent a linear function. D: The x-value is constant at 3, but the y-values change, indicating a non-linear function. Therefore, this set could not represent a linear function. Based on this analysis, set A {(-2,8), (0, 4), (2, 3), (4,2)} could represent a linear function.