Question

the pattern of higher rates of current alcohol use, binge alcohol use, and heavy alcohol use among full - time since 2002. using data from 2002 to 2008, the equations representing the percents of young adults aged 18 years after 2000.
enrolled in college ( y = - 0.345x + 19.604 )
not enrolled ( y = - 0.024x + 13.342 )
solve this system to determine when the percent for those enrolled in college will equal that for those not en

in the year 2020, the percent for those enrolled in college will equal that for those not enrolled.
(round up to the nearest year.)
the percent of young adults aged 18 to 22 using alcohol will be (square%).
(round to the nearest whole number as needed.)

Explanation:

Step1: Set equations equal

$-0.345x + 19.604 = -0.024x + 13.342$

Step2: Isolate x terms

$-0.345x + 0.024x = 13.342 - 19.604$

Step3: Calculate x coefficients

$-0.321x = -6.262$

Step4: Solve for x

$x = \frac{-6.262}{-0.321} \approx 19.51$

Step5: Round x to nearest year

$x \approx 20$ (year 2000 + 20 = 2020)

Step6: Substitute x into one equation

Use $y = -0.024(20) + 13.342$

Step7: Calculate y value

$y = -0.48 + 13.342 = 12.862$

Step8: Round y to whole number

$y \approx 13$

Answer:

In the year 2020, the percent for those enrolled in college will equal that for those not enrolled.
The percent of young adults aged 18 to 22 using alcohol will be 13%.