The distance a car travels varies directly with the time it spends driving. If a car travels 150 miles in 2 hours, how far will it travel in 5 hours? ________ miles.
Answer & Analysis
Analysis
Question Analysis
This question tests the application of direct variation in a real-world context involving distance and time. The student needs to use the given distance and time to find the constant of variation and then use it to find the distance for a different time.
Key Concept Explanation
In direct variation, the relationship between two variables and is given by , where is the constant of variation. Here, the distance varies directly with the time .
Step-by-step Solution
1. Given that the distance miles when t = 2 hours, we can write the equation as .
2. Solving for
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