Consider the linear function . If the value of x increases by 5, by how much does the value of y increase? _____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the concept of the constant rate of change to determine the change in the dependent variable when the independent variable changes by a given amount.
Key Concept Explanation
The constant rate of change in a linear function is the coefficient of the independent variable. For the function , the constant rate of change is 4, meaning that for each unit increase in , increases by 4.
Step-by-step Solution
1. Identify the constant rate of change: 4.
2. Determine the change in
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