**Text:**Title: Understanding Rate of Change in Proportional Relationships**Scenario:**A train moves at a constant rate. The table and graph below depict the relationship between the time, in hours, since the train left its station and the distance, in miles, that it has traveled. **Task:**You have just found that the rate of change for this relationship is 84. What does that rate of change mean in the context of this problem?**Table:**| Time in hours, x | Distance in miles, y ||------------------|----------------------|| 0.5 | 42 || 1.5 | 126 || 2.5 | 210 |**Explanation:**Every time the number of *hours* increases by 1, the number of *miles* increases by 84.**Graph:**The accompanying graph plots the distance in miles (y-axis) against time in hours (x-axis). The line is straight, illustrating a constant rate of change.The points plotted according to the table are:- (0.5, 42)- (1.5, 126)- (2.5, 210)The graph shows a proportional linear relationship where the slope of the line is 84. This means for every additional hour, the train covers 84 additional miles.---This explanation should aid students in understanding how constant rates of change are represented in both tabular and graphical form, emphasizing the concept of slope in a real-world context.

Concept: A moving object's position, velocity, and acceleration are all known. A physical term…

A train moves at a constant rate. The table and graph below show the relationship between the time, in hours, since the train left its station, and the distance, in miles, that it has traveled. ➡ You just found that the rate of change for this relationship is 84. What does that rate of change mean in the context of this problem? Time in hours, x Distance in miles, y 0.5 42 420 378 336 - 294-

A train moves at a constant rate. The table and graph below show the relationship between the time, in hours, since the train left its station, and the distance, in miles, that it has traveled. ➡ You just found that the rate of change for this relationship is 84. What does that rate of change mean in the context of this problem? Time in hours, x Distance in miles, y 0.5 42 420 378 336 - 294-

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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