1. **State the problem:** We have a linear function $P(t)$ modeling the price of a used car based on its age $t$ in years. Given $P(4) = 7300$ and $P(7) = 5500$, we want to find how much the price decreases each year. 2. **Formula used:** For a linear function $P(t) = mt + b$, the slope $m$ represents the rate of change of price per year. The slope is calculated by: $$m = \frac{P(t_2) - P(t_1)}{t_2 - t_1}$$ 3. **Calculate the slope:** $$m = \frac{5500 - 7300}{7 - 4} = \frac{-1800}{3} = -600$$ 4. **Interpretation:** The slope $m = -600$ means the price decreases by 600 dollars each year. 5. **Check the options:** - Option A and B talk about percentage decreases, but the model is linear, so the decrease is constant in dollars, not percentage. - Option C states a decrease of approximately 600 dollars per year, which matches our calculation. - Option D states 1800 dollars, which is the total decrease over 3 years, not per year. **Final answer:** Option C is true.