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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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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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