Alcohol Use According to the National Household Survey on Drug Abuse by the U.S. Department of Health and Human Services, the pattern of higher rates of current alcohol use, binge alcohol use, and heavy alcohol use among full-time college students than among others aged 18 to 22 has remained consistent since 2002. (See the figure.)
Using data from 2002 to 2008, the equations representing the percents of young adults aged 18 to 22 who used alcohol are
Enrolled in college: | y = | −0.282x + 19.553 |
Not enrolled: | y = | −0.086x + 13.643 |
where x represents the number of years after 2000. Solve this system, if possible, to determine when the percent for those enrolled in college will equal that for those not enrolled. What will the percent be?
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