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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. 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. x125 59 21 25 average rate of change from 1 to 2 average rate of change from 2 to 5 average rate of change from 5 to 6 Find a linear model for the data. y 4 X

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. 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. x125 59 21 25 average rate of change from 1 to 2 average rate of change from 2 to 5 average rate of change from 5 to 6 Find a linear model for the data. y 4 X

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 24E: When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see...
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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.

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.

 
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 constant, it is the slope of the linear function. 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. 2 5 6 9 21 25 4 1 y 5 average rate of change from 1 to 2 average rate of change from 2 to 5 average rate of change from 5 to 6 Find a linear model for the data. y = 4 X change is
Transcribed Image Text: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 constant, it is the slope of the linear function. 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. 2 5 6 9 21 25 4 1 y 5 average rate of change from 1 to 2 average rate of change from 2 to 5 average rate of change from 5 to 6 Find a linear model for the data. y = 4 X change is
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