The projected public college enrollment (in thousands) in the United States from 2005 to 2015 can be modeled by where represents the year, with corresponding to 2005.Use the model to predict the year that public college enrollment will exceed 14,800,000.
A) 2006
B) 2013
C) 2009
D) 2008
E) 2014

Question

The projected public college enrollment  (in thousands) in the United States from 2005 to 2015 can be modeled by   where  represents the year, with  corresponding to 2005.Use the model to predict the year that public college enrollment will exceed 14,800,000.
A) 2006 
B) 2013 
C) 2009 
D) 2008 
E) 2014

Quizplus · Accepted Answer

We need to solve the equation:

14800 = 455 + 1064(T - 5)

Simplifying:

14241 = 1064(T - 5)

T - 5 = 13.4

T ≈ 18.4

Adding 18.4 to 2005, we get:

2005 + 18.4 ≈ 2023.4

Therefore, the closest year to 2023.4 is 2014, so the answer is E (2014).

The Projected Public College Enrollment (In Thousands) in the United