a.
To find: The average rate of change of the population from
The average rate of change of the population from year
Given information: The table below shows the population growth of Clark County:
Year | Population |
Calculation:
From the table, it can be observed that the population in
Calculate the average rate of change of the population from year
Calculate the average rate of change of the population from year
Thus, the average rate of change of the population from year
b.
To graph: The scatter plot of the given data and appropriate regression graph.
The scatter plot of the given data is shown in figure (1) and appropriate regression is shown in figure (3).
Given information: The table below shows the population growth of Clark County:
Year | Population |
Graph:
To scatter plot of the given data in graphing calculator, under
Figure (1)
To find the logistic equation from the given data, select
Figure (2)
The logistic equation of the given data is:
Now, draw the graph of the equation as shown below in the viewing window
Figure (3)
Thus, the scatter plot of the given data is shown in figure (1) and appropriate regression is shown in figure (3).
c.
To find: The instantaneous rate of change of the population and the year in which fastest growth occur.
The instantaneous rate of change of the population is
Given information: The table below shows the population growth of Clark County:
Year | Population |
Calculation:
From figure (3) in part (b), the curve grows fastest at
Press
Figure (4)
Thus, the instantaneous rate of change of the population is
Chapter 11 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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