The Population Density (In People Per Square Mile) for a Coastal

Multiple Choice

The population density (in people per square mile) for a coastal town can be modeled by $f ( x , y ) = \frac { 110,000 } { ( 2 + x + y ) ^ { 3 } }$ where x and y are measured in miles. What is the population inside the rectangular area defined by the vertices $( 0,0 ) , ( 2,0 ) , ( 0,2 ) ,$ and $( 2,2 )$ ? Round to the nearest integer.

A) 11,167 people
B) 27,500 people
C) 18,333 people
D) 10,167 people
E) 9,167 people