A linear relationship is described by the function . If the value of increases by 3, the value of will increase by ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of how the constant rate of change affects the dependent variable when the independent variable changes. The constant rate of change is the coefficient of in the linear equation.
Key Concept Explanation
In a linear relationship, the constant rate of change (slope) determines how much changes for each unit increase in . If increases by a certain amount, will increase by the product of that amount and the constant rate of change.
Step-by-step Solution
1. Identify the given function: .
2. Recognize that the constant rate of change is 2 (the coefficient of ).
3. Determine the increase in
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