In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2020, there were 800,000 residents in the city and 350,000 residents in the suburbs. Set up a difference equation that describes this situation, where xo is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where x。 is the initial population in 2020. x₁ = Mx0 (Type an integer or decimal for each matrix element. Do not perform the calculation.) =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and
about 2% of the suburban population moves into the city. In 2020, there were 800,000 residents in the
city and 350,000 residents in the suburbs. Set up a difference equation that describes this situation,
where xo is the initial population in 2020. Then estimate the populations in the city and in the suburbs
two years later, in 2022. (Ignore other factors that might influence the population sizes.)
Set up a difference equation that describes this situation, where x。 is the initial population in 2020.
x₁ =Mx0
(Type an integer or decimal for each matrix element. Do not perform the calculation.)
=
Transcribed Image Text:In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2020, there were 800,000 residents in the city and 350,000 residents in the suburbs. Set up a difference equation that describes this situation, where xo is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where x。 is the initial population in 2020. x₁ =Mx0 (Type an integer or decimal for each matrix element. Do not perform the calculation.) =
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