Algebra-1

Question Analysis
This question involves the concept of relationships between two variables, x and y, specifically focusing on how the change in y behaves when x increases by a constant amount. The main focus is on distinguishing between linear and non-linear relationships based on the consistency of changes in y.

Key Concept Explanation
In a non-linear relationship, the changes in the dependent variable (y) are not consistent as the independent variable (x) increases by a constant amount. This is in contrast to a linear relationship, where the changes in y are constant.

Step-by-step Solution
1. Understand the scenario: The question describes a table where x increases by a constant amount (e.g., x goes from 1 to 2 to 3, with a constant change of 1 each time).
2. Analyze changes in y: If the changes in y (e.g., from  to ,  to , etc.) are not the same, the relationship cannot be linear.
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