Determine whether varies directly with in the following table. If so, find the constant of variation . The constant of variation is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to recognize and determine direct variation from a given table of values. The key is to check if the ratio is constant for all pairs of values.
Key Concept Explanation
Direct variation is defined by the relationship , where is a non-zero constant. To identify direct variation, the ratio must be the same for all pairs of values.
Step-by-step Solution
1. Calculate the ratio for each pair of values.
2. For and :
3. For
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