This exercise deals with data from the U.S. Bureau of the Census on populations of major cities.† These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important because they indicate the future needs of the population for goods and services and how well the area can support the population. The third-largest city in the United States is Chicago. Its population in 2011 was 2,705 (in thousands); in 2012, it was 2,715. (a) Develop the model that represents the population of Chicago. (Write your model in terms of t, where t is the number of years after 2011. Let p represent the population in thousands. Round the coefficient of t to seven decimal places.) p(t) =? (b) Predict the population in 2019. (Round your answer up to the nearest whole number.) (c) Predict the population in 2030. (Round your answer up to the nearest whole number.) (d) Predict when the population will be double its 2011 population. (Round your answer to one decimal place.)
This exercise deals with data from the U.S. Bureau of the Census on populations of major cities.† These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important because they indicate the future needs of the population for goods and services and how well the area can support the population. The third-largest city in the United States is Chicago. Its population in 2011 was 2,705 (in thousands); in 2012, it was 2,715. (a) Develop the model that represents the population of Chicago. (Write your model in terms of t, where t is the number of years after 2011. Let p represent the population in thousands. Round the coefficient of t to seven decimal places.) p(t) =? (b) Predict the population in 2019. (Round your answer up to the nearest whole number.) (c) Predict the population in 2030. (Round your answer up to the nearest whole number.) (d) Predict when the population will be double its 2011 population. (Round your answer to one decimal place.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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This exercise deals with data from the U.S. Bureau of the Census on populations of major cities.† These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important because they indicate the future needs of the population for goods and services and how well the area can support the population.
The third-largest city in the United States is Chicago. Its population in 2011 was 2,705 (in thousands); in 2012, it was 2,715.
(a) Develop the model that represents the population of Chicago. (Write your model in terms of t, where t is the number of years after 2011. Let p represent the population in thousands. Round the coefficient of t to seven decimal places.)
(b) Predict the population in 2019. (Round your answer up to the nearest whole number.)
p(t) =?
(b) Predict the population in 2019. (Round your answer up to the nearest whole number.)
(c) Predict the population in 2030. (Round your answer up to the nearest whole number.)
(d) Predict when the population will be double its 2011 population. (Round your answer to one decimal place.)
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