Suppose that demographic studies show that each year about 7% of a city's population moves to the suburbs (and 93% stays in the city), while 4% of the suburban population moves to the city (and 96% remains in the suburbs). In the year 2000, 60.3% of the population of the region lived in the city and 39.7% lived in the suburbs. What percentage of the population of the region would eventually live in the city if the migration probabilities were to remain constant over many years? For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the region. Select one: A.36.4% B.50% C.43.2% D.63.6%

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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Solve the problem.
Suppose that demographic studies show that each year about 7% of a city's population moves to the suburbs (and 93% stays in the
city), while 4% of the suburban population moves to the city (and 96% remains in the suburbs). In the year 2000, 60.3% of the
population of the region lived in the city and 39.7% lived in the suburbs. What percentage of the population of the region would
eventually live in the city if the migration probabilities were to remain constant over many years? For simplicity, ignore other
influences on the population such as births, deaths, and migration into and out of the region.
Select one:
A.36.4%
B.50%
C.43.2%
D.63.6%
Transcribed Image Text:Solve the problem. Suppose that demographic studies show that each year about 7% of a city's population moves to the suburbs (and 93% stays in the city), while 4% of the suburban population moves to the city (and 96% remains in the suburbs). In the year 2000, 60.3% of the population of the region lived in the city and 39.7% lived in the suburbs. What percentage of the population of the region would eventually live in the city if the migration probabilities were to remain constant over many years? For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the region. Select one: A.36.4% B.50% C.43.2% D.63.6%
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