The graph represents the water path of a fire hose. Fire Hose Water Path 25 20 15 0 5 10 15 20 25 30 35 40 45 Horizontal Distance (ft.) Over the interval 0 < x < 20, when looking at 5 foot increments (0 to 5, 5 to 10, .), does the average rate of change increase, decrease or stay the same? Explain how your answer. Roregronh 10 5 Vertical Height (ft.)

The graph represents the water path of a fire hose. Fire Hose Water Path 25 20 15 0 5 10 15 20 25 30 35 40 45 Horizontal Distance (ft.) Over the interval 0 < x < 20, when looking at 5 foot increments (0 to 5, 5 to 10, .), does the average rate of change increase, decrease or stay the same? Explain how your answer. Roregronh 10 5 Vertical Height (ft.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 28E: Average Rate of Change Graphs of the functions f, g, and h are shown below. What can you say about...

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When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of changes is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change is the same over each interval. This shows the data are linear, even though the differences in y are not constant. Then find a linear model for the data. x 1 2 5 6 y 7 10 19 22
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When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12