To determine the value of the car after 5 years, we need to evaluate the function \( f(x) \) at \( x = 5 \):
\[ f(x) = 35,000(0.85)^x \]
Substituting \( x = 5 \):
\[ f(5) = 35,000(0.85)^5 \]
Next, we calculate \( (0.85)^5 \):
\[ (0.85)^5 \approx 0.4437053125 \]
Now, multiply this result by 35,000:
\[ f(5) \approx 35,000 \times 0.4437053125 \approx 15529.648 \]
Rounding to the nearest cent:
\[ f(5) \approx 15,529.65 \]
Therefore, the value of the car after 5 years is approximately $15,529.65.