1. **State the problem:** We need to find the correct graph representing the value of a car that starts at 8000 and depreciates by 25% each year. 2. **Formula for exponential decay:** The value after $x$ years is given by $$y = y_0 (1 - r)^x$$ where $y_0$ is the initial value and $r$ is the rate of depreciation. 3. **Apply the values:** Here, $y_0 = 8000$ and $r = 0.25$, so $$y = 8000 (1 - 0.25)^x = 8000 (0.75)^x$$ 4. **Interpretation:** This is an exponential decay function starting at 8000 and decreasing by 25% each year. 5. **Compare with given graphs:** - Top-left graph is linear, which does not match exponential decay. - Center graph shows $y = 8000 (0.75)^x$, which matches our formula. - Bottom-left graph starts near 9000 and decreases to about 2000 by $x=15$, which does not fit the problem. **Final answer:** The center graph represents the value of the car after $x$ years.