In a certain region, about 8% 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 10,200,000 residents in the city and 850,000 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 xo is the initial population in 2020. x₁ = Mxo = 8681900 2368100 wrong (Type an integer or decimal for each matrix element. Do not perform the calculation.)

Elementary Algebra
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Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
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In a certain region, about 8% 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 10,200,000 residents in the city and 850,000 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 xo is the initial population in 2020.
8681900
wrong
2368100
(Type an integer or decimal for each matrix element. Do not perform the calculation.)
x1 = Mxo =
Transcribed Image Text:In a certain region, about 8% 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 10,200,000 residents in the city and 850,000 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 xo is the initial population in 2020. 8681900 wrong 2368100 (Type an integer or decimal for each matrix element. Do not perform the calculation.) x1 = Mxo =
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