A car's fuel efficiency (in miles per gallon) varies inversely with its speed (in miles per hour). If the car travels at 60 mph and has a fuel efficiency of 30 mpg, the constant of variation is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the application of inverse variation in a real-world context.
Key Concept Explanation
In an inverse variation, the product of the two variables and is a constant . The relationship can be expressed as . Here, the variables are the car's speed and its fuel efficiency.
Step-by-step Solution
1. Identify the given values: speed mph and fuel efficiency mpg
2. Substitute these values into the equation
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