A business owner purchased a vehicle valued at \( \$ 90,000 \) . The values of the vehicle depreciates by the same amount each year so that after \( 5 \) years the value will be \( \$ 50,000 \) . Which of the following equations gives the value, \( v \) , of the machine, in dollars, \( t \) years after it was purchased, for \( 0 \leq t \leq 5 \) ?
A) \( v = 50,000 - 8,000 t \)
B) \( v = 90,000 - 50,000 t \)
C) \( v = 90,000 - 8,000 t \)
D) \( v = 90,000 + 8,000 t\)