Consider the following table of values for the relationship between x and y:
Determine if the relationship is linear or nonlinear. The relationship is __________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to calculate the rate of change between consecutive points in a table to determine if the relationship is linear or nonlinear.
Key Concept Explanation
Linear relationships have a constant rate of change, while nonlinear relationships do not. By calculating the differences in values for each unit increase in , students can determine if the rate of change is constant.
Step-by-step Solution
1. Calculate the rate of change between and : .
2. Calculate the rate of change between and
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