College Enrollments The graph shows the projections in total enrollment at...

College Enrollments The graph shows the projections in total enrollment at degree-granting institutions from fall 2009 to fall 2018.

The following linear model provides the approximate enrollment, in millions, between the years 2009 and 2018, where x = 0 corresponds to 2009, x = 1 to 2010, and so on, and y is in millions of students.

y = 0.2309x + 18.35

(a) Use the model to determine projected enrollment for fall 2014.

(b) Use the model to determine the year in which enrollment is projected to reach 20 million.

(c) How do your answers to parts (a) and (b) compare to the corresponding values shown in the graph?

(d) The actual enrollment in fall 1997 was 14.5 million. The model here is based on data from 2009 to 2018. If you were to use the model for 1997, what would the projected enrollment be?

(e) Why do you think there is such a discrepancy between the actual value and the value based on the model in part (d)? Discuss the pitfalls of using the model to predict enrollment for years preceding 2009.