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The graphs show the percentage of high school seniors who used alcohol or marijuana
Chapter 1, Problem 55(choose chapter or problem)
The graphs show the percentage of high school seniors who used alcohol or marijuana during the 30 days prior to being surveyed for the University of Michigan~-. t\tonitoring the Future stttdy. 80% 70% 60% 50% 40% 30% 20% 10% 1980 Alcohol and Marijuana Use by United Stales High School Seniors 1985 1990 1995 2000 2005 2009 Year Source: U.S. Department of Health and Human Services The data can be described by the following molhematic.al models: Paruf! tf u11iott 11ti1.! tleohol l!h A - - 0.911 + 69 Pern_11h5 ~ u~ M - - 0.3n + 27. IISI'f .at1JIIIj1;: ~~ Use this information to sm= Etercises 55-56. a. Use the approlfi!te line graph to determine thepercentage of se~ who used marijuana in 2005.b. Use the appropntrte formula to determine the percentageof seniors who used marijuana in 2005. Does the formuJaunderestimate o r overestimate the actual percentagedisplayed by the graph? By how muc.h?c .. Use the appropriate line graph to estimate the percentageof seniors who used alcohol in 2005.d. Use the a ppropriate fo rmula to determine the percentageof seniors who used alcohol in 2005. How does thiscompare with your estimate in part (c)? e. For the period from 1980 through 2009. in which year wasmarijuana use by seniors at a minimum? Estimate thepercentage of seniors who used marijuana in that year.
Questions & Answers
QUESTION:
The graphs show the percentage of high school seniors who used alcohol or marijuana during the 30 days prior to being surveyed for the University of Michigan~-. t\tonitoring the Future stttdy. 80% 70% 60% 50% 40% 30% 20% 10% 1980 Alcohol and Marijuana Use by United Stales High School Seniors 1985 1990 1995 2000 2005 2009 Year Source: U.S. Department of Health and Human Services The data can be described by the following molhematic.al models: Paruf! tf u11iott 11ti1.! tleohol l!h A - - 0.911 + 69 Pern_11h5 ~ u~ M - - 0.3n + 27. IISI'f .at1JIIIj1;: ~~ Use this information to sm= Etercises 55-56. a. Use the approlfi!te line graph to determine thepercentage of se~ who used marijuana in 2005.b. Use the appropntrte formula to determine the percentageof seniors who used marijuana in 2005. Does the formuJaunderestimate o r overestimate the actual percentagedisplayed by the graph? By how muc.h?c .. Use the appropriate line graph to estimate the percentageof seniors who used alcohol in 2005.d. Use the a ppropriate fo rmula to determine the percentageof seniors who used alcohol in 2005. How does thiscompare with your estimate in part (c)? e. For the period from 1980 through 2009. in which year wasmarijuana use by seniors at a minimum? Estimate thepercentage of seniors who used marijuana in that year.
ANSWER:a. The percentage of seniors who used marijuana in 2005 was 26.2%, according to the line graph.
b. The formula 0.311 + 27.15 would estimate the percentage of seniors who used marijuana in 2005 to be 30.3%. This would be an overestimation of the actu