In this exercise, we estimate the rate at which the total personal income is rising in a metropolitan area. In 1999, the population of this area was 918,700, and the population wasincreasing at roughly 9700 people per year. The average annual income was $29,001 per capita, and this average was increasing at about $1400 per year (a little above the nationalaverage of about $1225 yearly). Use the Product Rule and these figures to estimate the rate at which total personal income was rising in the area in 1999. (Round your answer to threedecimal places.)billion per year

Answered: Image /qna-images/answer/573a40de-2dfe-406a-be31-425bf0555531.jpg

Answered: In this exercise, we estimate the rate…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 32PT: For the following exercises, consider this scenario: The population of a city increased steadily...

See similar textbooks

Similar questions

For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. Thefollowing ordered pairs show the number of units sold in hundreds and the profit in thousands of over the ten-yearspan, (number of units sold, profit) for specific recorded years: (46,250),(48,305),(50,350),(52,390),(54,410). Predict when the profit will exceed one milliondollars.
For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. Thefollowing ordered pairs show the number of units sold in hundreds and the profit in thousands of over the ten-yearspan, (number of units sold, profit) for specific recorded years: (46,250),(48,305),(50,350),(52,390),(54,410). Use linear regression to determine a function y,where the profit in thousands of dollars depends onthe number of units sold in hundreds.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year over the ten-year span, (population, year) forspecific recorded years: (4,500,2000);(4,700,2001);(5,200,2003);(5,800,2006) Use linear regression to determine a function y, where the year depends on the population. Round to threedecimal places of accuracy.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years: (4,500,2000);(4,700,2001);(5,200,2003);(5,800,2006) Predict when the population will hit 20,000.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years: (4,500,2000);(4,700,2001);(5,200,2003);(5,800,2006) What is the correlation coefficient for this model?
For the following exercises, consider this scenario: The profit of a company decreased steadily overa ten-year span.The following ordered pairs show dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span (number of units sold, profit) for specific recorded years: (46,250),(48,305),(50,350),(52,390),(54,410). Use linear regression to determine a function y,where the profit in thousands of dollars depends onthe number of units sold in hundreds.
For the following exercises, consider this scenario: The population of a city increased steadily overa ten-year span. The following ordered pairs show the population and the year over the ten-year span (population, year) for specific recorded years: (3,600,2000);(4,000,2001);(4,700,2003);(6,000,2006) 45. According to the model, what is the populationin 2014?
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. In what year will the percentage drop below 4%?
For the following exercises, consider this scenario: For each year t , the population of a forest of trees is represented by the function A(t)=115(1.025)t. In a neighboring forest, the population of the same type of tree is represented by the function B(t)=82(1.029)t. (Round answers to the nearest whole number.) Discuss the above results from the previous four exercises. Assuming the population growth models continue to represent the growth of the forests, which forest will have the greater number of trees in the long run? Why? What are some factors that might in?uence the long-term validity of the exponential growth model?
In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter scale. In 1989, the Loma Prieta earthquake also affected the San Francisco area, and measured 6.9 on the Richter scale. Compare the intensities of the two earthquakes.
For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted. When will the output reach 0?
For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constant rate of 2,500 per year for 5 years. When will the output reached 100,000?

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS