The value of U.S. trade with China from 1994 through 2002 can be approximated by $C ( t ) = 3 t ^ { 2 } - 7 t + 50$ billion dollars (t is time in years since 1994).
Find an appropriate domain of C.

A) $[ 0 , + \infty ]$
B) $[ 1994,2002 ]$
C) $[ 1994 , + \infty ]$
D) $[ 0,8 ]$
E) $[ 8 , + \infty ]$

Question

The value of U.S. trade with China from 1994 through 2002 can be approximated by $C ( t ) = 3 t ^ { 2 } - 7 t + 50$ billion dollars (t is time in years since 1994). 
Find an appropriate domain of C.

A) $[ 0 , + \infty ]$
B) $[ 1994,2002 ]$
C) $[ 1994 , + \infty ]$
D) $[ 0,8 ]$
E) $[ 8 , + \infty ]$

Quizplus · Accepted Answer

The domain of $C(t)$ is from 0 to 8, representing the years from 1994 through 2002, where $t=0$ corresponds to 1994 and $t=8$ corresponds to 2002.

The Value of U C(t)=3t2−7t+50C ( t ) = 3 t ^ { 2 } - 7 t + 50C(t)=3t2−7t+50

The Value of U $C ( t ) = 3 t ^ { 2 } - 7 t + 50$