A table of values for a relationship is given below. Based on the rate of change, the relationship is __________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to determine the type of relationship based on the rate of change in a table of values. The key is to observe that the rate of change (difference in -values divided by the difference in -values) is constant.
Key Concept Explanation
Linear relationships have a constant rate of change, while nonlinear relationships do not.
Step-by-step Solution
1. Calculate the rate of change between consecutive points:
From to :
From to
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