To find the value of the car after 5 years using the function \( f(x) = 35,000 \times (0.85)^x \), we need to evaluate the function at \( x = 5 \).
Substituting \( x = 5 \) into the function:
\[ f(5) = 35,000 \times (0.85)^5 \]
Now, we calculate \( (0.85)^5 \):
\[ (0.85)^5 \approx 0.443705 \]
Next, we multiply this value by 35,000:
\[ f(5) = 35,000 \times 0.443705 \approx 15529.675 \]
Finally, we round this value to the nearest cent:
\[ f(5) \approx 15529.68 \]
Thus, after 5 years, the value of the car will equal $15,529.68.