A car's fuel efficiency (in miles per gallon) varies inversely with its speed (in miles per hour). If the car travels at 70 mph and has a fuel efficiency of 28 mpg, the constant of variation is .
Answer & Analysis
Analysis
Question Analysis
This problem tests the application of inverse variation in a real-world context, specifically the relationship between a car's speed and its fuel efficiency.
Key Concept Explanation
Inverse variation is defined by the equation , where is the constant of variation. The product of the variables remains constant regardless of their individual values.
Step-by-step Solution
1. Identify the given values: mph and mpg.
2. Use the inverse variation equation to find the constant :
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.