Drinking and Driving Among High School Students The percentage of high school students who drink and drive stood at 17.5% at the
beginning of 2001 and declined linearly to 10.3% at the beginning of 2011. a. Find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t=0 corresponds to the beginning of 2001.
b. At what rate was the percentage of students who drink and drive dropping between 2001 and 2011?
c. If the trend continues, what will the percentage of high school students who drink and drive be at the beginning of 2014?
0.89 = a * 2 + b and 2.09 = a * 5 + b => => 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40; b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;
y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
