The Total Numbers of Navy Personnel N (In Thousands) and Marines

question 60

Multiple Choice

The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models
$N ( t ) = 0.194 t ^ { 3 } - 1.88 t ^ { 2 } + 15.9 t + 373 \text { and } M ( t ) = 0.032 t ^ { 3 } - 0.26 t ^ { 2 } + 5.7 t + 172$ where t represents the year, with $t = 0$ corresponding to 2000.
Find and interpret $( N + M ) ( t )$

• A) \(( N + M ) ( t ) = 0.226 t ^ { 2 } - 2.14 t ^ { 3 } - 21.6 t + 545\), which represents the total number of Navy and Marines personnel combined.
• B) \(( N + M ) ( t ) = 0.226 t ^ { 3 } + 2.14 t ^ { 2 } + 21.6 t + 545\), which represents the total number of Navy and Marines personnel combined.
• C) \(( N + M ) ( t ) = 0.226 t ^ { 3 } + 2.14 t ^ { 2 } - 21.6 t - 545\), which represents the total number of Navy and Marines personnel combined.
• D) \(( N + M ) ( t ) = 0.226 t ^ { 3 } - 2.14 t ^ { 2 } - 21.6 t - 545\), which represents the total number of Navy and Marines personnel combined.
• E) \(( N + M ) ( t ) = 0.226 t ^ { 3 } - 2.14 t ^ { 2 } + 21.6 t + 545\), which represents the total number of Navy and Marines personnel combined. \(( f - g ) ( t + 1 )\)