A car travels 120 miles in 3 hours. The rate of change of the distance with respect to time, or the speed of the car, is _______ miles per hour.
Answer & Analysis
Analysis
Question Analysis
This question applies the concept of slope to a real-world scenario, specifically the rate of change of distance with respect to time, which is the speed of the car.
Key Concept Explanation
The slope in this context represents the speed of the car, calculated as the ratio of the total distance traveled to the total time taken.
Step-by-step Solution
1. Identify the total distance traveled: 120 miles.
2. Identify the total time taken: 3 hours.
3. Calculate the speed:
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