The national defense budget expenses (in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model where represents the year, with corresponding to 1990.Use the model to find total veteran expenses in 2002.
A) $51.904 billion
B) $51.344 billion
C) $12.404 billion
D) $37.550 billion
E) $30.100 billion

Question

The national defense budget expenses  (in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model  where  represents the year, with  corresponding to 1990.Use the model to find total veteran expenses in 2002.
A) $51.904 billion 
B) $51.344 billion 
C) $12.404 billion 
D) $37.550 billion 
E) $30.100 billion

Quizplus · Accepted Answer

Plug in 11ea89fe_4b2e_ab14_9fff_9688229f3279_TB2036_11 = 2002 into the model:
11ea89fe_4b2e_869f_9fff_8fe3cee6e732_TB2036_11 = 3.2551(2002 - 1990) + 30.8669
11ea89fe_4b2e_869f_9fff_8fe3cee6e732_TB2036_11 = 3.2551(12) + 30.8669
11ea89fe_4b2e_869f_9fff_8fe3cee6e732_TB2036_11 ≈ 51.344
Therefore, the total veteran expenses in 2002 were approximately $51.344 billion (choice B).

The National Defense Budget Expenses (In Billions of Dollars)