To find the value of the car after three years, you can use the formula \( f(x) = 32,000(0.92)^x \). In this case, \( x = 3 \).
Now, let's calculate \( f(3) \):
\[ f(3) = 32,000(0.92)^3 \]
First, calculate \( (0.92)^3 \):
\[ (0.92)^3 \approx 0.778688 \]
Now, multiply this value by 32,000:
\[ f(3) = 32,000 \times 0.778688 \approx 24,988.00 \]
Thus, the value of the car after three years is approximately $24,988.00.
So, filling in the table:
\[ \text{The value of the car after three years is } $24,988.00. \]