Concept explainers
To calculate: The periods during which the surface of elevation is changing linearly.
Answer to Problem 44E
During the period 1965 to 1975 and 1985 to 1995, the surface of elevation is changing linearly.
Explanation of Solution
Given information:
The table that provides elevation of the surface of Great Salt Lake in Utah for different years.
Formula used:
The slope is
Calculation:
Consider the table that provides elevation of the surface of Great Salt Lake in Utah for different years.
The horizontal axis that is x- axis, denote the year and the vertical axis that is y -axis denote the elevation.
Recall slope is
Slope between 1965 and 1970 is the slope between the points
Slope of the line is,
Therefore, slope is
Slope between 1970 and 1975 is the slope between the points
Slope of the line is,
Therefore, slope is
Slope between 1975 and 1980 is the slope between the points
Slope of the line is,
Therefore, slope is 0. No change in surface of elevation.
Slope between 1980 and 1985 is the slope between the points
Slope of the line is,
Therefore, slope is
Slope between 1980 and 1985 is the slope between the points
Slope of the line is,
Therefore, slope is
Slope between 1985 and 1990 is the slope between the points
Slope of the line is,
Therefore, slope is decreasing by
Slope between 1990 and 1995 is the slope between the points
Slope of the line is,
Therefore, slope is decreasing by
Years during which slope is same depicts that surface of elevation is changing linearly.
Thus, during the period 1965 to 1975 and 1985 to 1995, the surface of elevation is changing linearly.
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Chapter 1 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
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