Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public cransportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute
via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of
those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At
the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public
cransportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest
percent.)
Transcribed Image Text:Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public cransportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)
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