The distance a hiker travels varies directly with the time spent hiking. If the hiker travels 15 miles in 3 hours, how far will the hiker travel in 8 hours? ________ miles .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of direct variation and its application in a real-world context. The student needs to determine the constant of variation and then use it to find the distance for a different amount of time.
Key Concept Explanation
In direct variation, the relationship between two variables and can be expressed as , where is the constant of variation. Here, the distance traveled ( ) varies directly with the time spent hiking ( ), so .
Step-by-step Solution
1. Identify the given values: miles when hours.
2. Use the formula
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