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A demographic study of the metropolitan area around Dogpatch divided it into thr

ID: 3679915 • Letter: A

Question

A demographic study of the metropolitan area around Dogpatch divided it into three regions - urban, suburban, rural - and published the following table showing the annual migration from one region to another (the numbers represent percentages). For example 0.3 percent of the urbanites (0.003 times the current population) move to the suburbs each year. The diagonal entries represent internal growth rates. Assume that the 2013 populations are: Urban 2.1 million, Suburban 1.4 million, Rural 0.9 million. Use Planner's Lab to model this growth showing the population of each area for each of the next nine years. From your results, export the Data Table to Excel and then copy the table into a document:

Explanation / Answer

first table show the population of each year of next nine years

urban:

   r=p+(p*1.1)/100-(p*0.3)/100-(p*0.7)/100;
                  r=r/1000000;

suburabn:    r=p+(p*0.1)/100-(p*1.2)/100-(p*0.3)/100;
                  r=r/1000000;

rural:

r=p+(p*0.2)/100-(p*0.6)/100-(p*1.3)/100;
                  r=r/1000000;

2013

2014

2015

2016

2017

2018

2019

2020

2021

urban

2.1

2.1021

2.1042

2.1063

2.10841

2.11052

2.11263

2.11474

2.11685

suburban

1.4

1.3804

1.36107

1.34202

1.32323

1.3047

1.28643

1.26842

1.25066

rural

0.9

0.8847

0.86966

0.854876

0.840343

0.826057

0.812015

0.798211

0.784641

change the urban growth rate to 1.05 in 2016, 1.03 in 2017 and 1.02 beyond that

2013

2014

2015

2016

2017

2018

2019

2020

2021

urban

2.1

2.1021

2.1042

2.10525

2.10588

2.1063

2.10672

2.10714

2.10756

suburban

1.4

1.3804

1.36107

1.34202

1.32323

1.3047

1.28643

1.26842

1.25066

rural

0.9

0.8847

0.86966

0.854876

0.840343

0.826057

0.812015

0.798211

0.784641

2013

2014

2015

2016

2017

2018

2019

2020

2021

urban

2.1

2.1021

2.1042

2.1063

2.10841

2.11052

2.11263

2.11474

2.11685

suburban

1.4

1.3804

1.36107

1.34202

1.32323

1.3047

1.28643

1.26842

1.25066

rural

0.9

0.8847

0.86966

0.854876

0.840343

0.826057

0.812015

0.798211

0.784641

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