Write a linear equation that models the percent of U.S. drivers wearing seat belts in terms of the year x.

Question

In 2005, the percent of U.S. drivers wearing seat belts was 82%. The number of drivers wearing seat belts in 2000 was 71%. Let y be the number of drivers wearing seat belts in the year where x=0 represents the year 2000.

 

(A.) Write a linear equation that models the percent of U.S. drivers wearing seat belts in terms of the year x.

 

(B.) Use the equation found in part (a) to predict the percentage of U.S. drivers wearing seat belts in the year 2014.

Answer 1

 

 (A)   (5, 82)  and (0, 71)  <---- the y-intercept

 

        The slope M = (82 - 71)/(5-0) = 11/5

 

        The linear equation is y = f(x) = (11/5)X + 71

 

 

(b)  f(14) = 11/5*14 + 71 =   101.8%

 

No one said it was a good model....