To calculate the average rate of change in value from year 2 to year 4, we use the formula for average rate of change:
\[ \text{Average Rate of Change} = \frac{\text{Value at Year 4} - \text{Value at Year 2}}{\text{Year 4} - \text{Year 2}} \]
The values of the car at years 2 and 4 are needed. Since the values are not provided here directly, let's assume:
- Value at Year 2 = \( V_2 \) (in thousands)
- Value at Year 4 = \( V_4 \) (in thousands)
Now, substituting into the formula, we get:
\[ \text{Average Rate of Change} = \frac{V_4 - V_2}{4 - 2} = \frac{V_4 - V_2}{2} \]
Once you have the values for \( V_2 \) and \( V_4 \), calculate \( V_4 - V_2 \), divide by 2, and express the result in thousands per year.
If you provide the specific values of the car at years 2 and 4, I can help calculate the exact average rate of change. However, based on the possible responses you provided, we can make a rough estimation.
For the choices given:
- $-3200 per year
- $-3450 per year
- $-3.20 per year
- $-6400 per year
If we assume a general depreciation of a vehicle, and seeing that none of the choices indicate a very low rate such as $-3.20, the most reasonable rates of decline in the given options would be either $-3200 or $-3450.
Please provide the specific values to narrow it down further.