After T Years, the Value of a Car That Originally $\$$

Multiple Choice

After t years, the value of a car that originally cost $\$$ 17,000 depreciates so that each year it is worth $\frac { 3 } { 4 }$ of its value for the previous year. Find a model for V(t) , the value of the car after t years.

A) V(t) = 17,000 $\left( \frac { 3 ^ { t } } { 4 } \right)$
B) V(t) = 17,000t $\left( \frac { 3 } { 4 } \right)$
C) V(t) = 17,000 $\left( \frac { 3 } { 4 } \right) ^ { t }$
D) V(t) = 17,000 $\left( \frac { 3 } { 4 ^ { t } } \right)$
E) V(t) = 17,000t $\left( \frac { 3 } { 4 } \right) ^ { t }$