To model the value of a car that depreciates at a specific percentage per year, we typically use the formula:
\[ V(t) = V_0 \times (1 - r)^t \]
where:
- \( V_0 \) is the initial value of the car,
- \( r \) is the depreciation rate (expressed as a decimal),
- \( t \) is the number of years since the car was purchased.
In this case, the initial value \( V_0 \) is 67,035, and the depreciation rate \( r \) is 9.7%, which is 0.097 in decimal form.
The formula for the value of the car after \( t \) years would become:
\[ V(t) = 67035 \times (1 - 0.097)^t \] \[ V(t) = 67035 \times (0.903)^t \]
Therefore, the correct answer is:
C. \( V(t) = 67035(0.903)^t \)