To find the value of the car after three years using the given depreciation model \( f(x) = 32,000(0.92)^x \), we can substitute \( x = 3 \) into the equation.
\[ f(3) = 32,000(0.92)^3 \]
First, calculate \( (0.92)^3 \):
\[ (0.92)^3 = 0.92 \times 0.92 \times 0.92 \approx 0.778688 \]
Now, substitute this value back into the equation:
\[ f(3) = 32,000 \times 0.778688 \approx 24,979.00 \]
So the value of the car after three years is approximately $24,979.00.
Thus, the completed sentence is: The value of the car after three years is $24,979.00.