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 } - 7.88 t ^ { 2 } + 12.9 t + 375

and

M ( t ) = 0.031 t ^ { 3 } - 0.25 t ^ { 2 } + 6.7 t + 173

Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret

( N - M ) ( t )

.

A)

( N - M ) ( t ) = 0.163 t ^ { 3 } + 7.63 t ^ { 2 } - 6.2 t + 202

, which represents the difference between the number of Navy personnel and the number of Marines personnel.
B)

( N - M ) ( t ) = 0.163 t ^ { 3 } - 7.63 t ^ { 2 } - 6.2 t - 202

, which represents the difference between the number of Navy personnel and the number of Marines personnel.
C)

( N - M ) ( t ) = 0.163 t ^ { 3 } - 7.63 t ^ { 2 } - 6.2 t + 202

, which represents the difference between the number of Navy personnel and the number of Marines personnel.
D)

( N - M ) ( t ) = 0.163 t ^ { 3 } + 7.63 t ^ { 2 } + 6.2 t + 202

, which represents the difference between the number of Navy personnel and the number of Marines personnel.
E)

( N - M ) ( t ) = 0.163 t ^ { 3 } - 7.63 t ^ { 2 } + 6.2 t + 202

, which represents the difference between the number of Navy personnel and the number of Marines personnel.

Select the Graph of the Function and Find the Zeros f(x)=x(x−6)f ( x ) = x ( x - 6 )f(x)=x(x−6)

Multiple Choice