(a)
To calculate : The average rate of change between
The average rate of change between
Given information :
The table given below shows the percentage of U.S. labor force in unions for selected years between
Year | % |
Calculation :
The average rate of change between
The average rate of change between
(b)
To determine : The type of polynomial model that seems to be most appropriate by making a scatter plot.
The cubic polynomial model seems to be most appropriate.
Given information :
The table given below shows the percentage of U.S. labor force in unions for selected years between
Year | % |
Explanation :
Let
Therefore, the model will not be linear but it will be cubic.
(c)
To determine : The type of polynomial model using graphing calculator.
The required polynomial model is
Given information :
The table given below shows the percentage of U.S. labor force in unions for selected years between
Year | % |
Explanation :
The cubic model will be in the form of:
Use calculator to find the values of
Therefore, the required function is
(d)
To calculate : The percent of the labor force in unions in the year 2020.
The percent of the labor force in unions in the year 2020 is
Given information :
The table given below shows the percentage of U.S. labor force in unions for selected years between
Year | % |
Calculation :
The cubic model that best fits the given data is
To estimate percent of the labor force in unions in the year 2020, take
So,
Therefore, the percent of the labor force in unions in the year 2020 is
(e)
To explain : The confidence in the prediction.
The prediction is not very reliable.
Given information :
The table given below shows the percentage of U.S. labor force in unions for selected years between
Year | % |
Explanation :
The prediction made on the basis of above data is based on extrapolation.
Therefore, the prediction is not very reliable.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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