A light's intensity (in lux) and the distance (in meters) from the source are inversely proportional. If the intensity is 400 lux at a distance of 2 meters, the constant of variation is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the application of inverse variation in a real-world context, specifically the relationship between light intensity and distance.
Key Concept Explanation
Inverse variation is defined by the equation . The product of the intensity and the distance remains constant regardless of their individual values.
Step-by-step Solution
1. Substitute the given values into the equation :
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