To determine which table of values shows a linear function, you would typically look for consistent changes in the output values (y-values) when the input values (x-values) are incremented by a constant amount. In a linear function, the difference in the y-values divided by the difference in the x-values (slope) should remain constant.
Since I don’t have the actual tables of values (A, B, C) in front of me, I can't evaluate them directly. However, here's how you can approach the problem:
- Select one of the tables and look at the x-values and corresponding y-values.
- Calculate the change in y for each change in x.
- If the changes in y for each step in the x-values are the same or produce a consistent slope, then it represents a linear function.
- Repeat for the other tables to compare.
Once you've assessed each table, you can choose the appropriate response based on your findings. If you provide the tables, I could help analyze them. Otherwise, please proceed with the method described!
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