A linear relationship is represented by the equation . If the value of x decreases by 3, by how much does the value of y decrease? _________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to understand the effect of a decrease in the independent variable on the dependent variable in a linear relationship. The constant rate of change (slope) is used to determine the change in .
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 7, meaning that for each unit decrease in , decreases by 7.
Step-by-step Solution
1. Identify the constant rate of change: 7.
2. Determine the change in : -3 (a decrease of 3).
3. Calculate the change in
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