The US Department of Health conducted a survey for the years 1985-2018 regarding the use of cigarettes. Data from those years indicate that the linear function  y = −0.47x + 47.1  gives an estimate of the 18-25 age group using cigarettes. The variable x represents the number of years since 1985 and y represents the percentage of 18-25 year old individuals using cigarettes.  Explain what the −0.47 represents in terms of time and the percentage of 18-25 year old individuals using cigarette

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The US Department of Health conducted a survey for the years 1985-2018 regarding the use of cigarettes. Data
from those years indicate that the linear function  y = −0.47x + 47.1  gives an estimate of the 18-25 age group using cigarettes. The variable x represents the number of years since 1985 and y represents the percentage of 18-25 year old individuals using cigarettes. 

Explain what the −0.47 represents in terms of time and the percentage of 18-25 year old individuals using cigarettes.

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