Suppose That the Annual Payroll $a _ { n }$ (In Billions of Dollars) of New Car Dealerships in the (In

Multiple Choice

Suppose that the annual payroll $a _ { n }$ (in billions of dollars) of new car dealerships in the United States from 2000 to 2005 can be approximated by the model $a _ { n } = 44.7 + 1.51 n - 0.108 n ^ { 2 },$ $n = 0,1,2,3,4,5$ where $n$ represents the year, with $n = 0$ corresponding to 2000. Find the total payroll from 2000 to 2005 by evaluating the sum $\sum _ { n = 0 } ^ { 5 } \left( 44.7 + 1.51 n - 0.108 n ^ { 2 } \right)$ Round your answer to the nearest ten million dollars.

A) $334.78 billion
B) $284.91 billion
C) $377.86 billion
D) $290.08 billion
E) $235.36 billion