a.
To find: the model representing the population as a function of number of years since 1970.
a.
Answer to Problem 66E
Explanation of Solution
Given information:
The table shown below represents the data of population growth for Forsythe Country over the time.
Year | 1970 | 1980 | 1990 | 1998 |
Population | 17000 | 28000 | 44000 | 86000 |
Calculation:
Use graphing calculator to model the given condition. The steps involved are as follows:
- Select stat mode using initial year (1970) as 0. Enter the data from the table as shown below.
- Select the graph scatter points and from the menu to get the
scattered plot as follows: - Calculate the quadratic regression as follows:
The quadratic equation obtained is
b.
To predict: the population in year 2020 by using the model.
b.
Answer to Problem 66E
248180
Explanation of Solution
Given information:
The table shown below represents the data of population growth for Forsythe Country over the time.
Year | 1970 | 1980 | 1990 | 1998 |
Population | 17000 | 28000 | 44000 | 86000 |
Calculation:
The equation of the function evaluated in part a. is as follows:
Since 2020 is 50 years from 1970, so put
Thus the predicted population in year 2020 will be
Chapter 6 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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