1. **Problem statement:** We have a vehicle valued at 24500 after 3 years and 14200 after 8 years. We want to find: a) The average yearly rate of decrease over the 5 years from year 3 to year 8. b) The initial value of the vehicle at year 0. c) The value of the vehicle after 14 years. 2. **Step a: Average yearly rate of decrease** The average yearly rate of decrease is the change in value divided by the number of years. Change in value = 24500 - 14200 = 10300 Number of years = 8 - 3 = 5 Average yearly rate of decrease = $\frac{10300}{5} = 2060$ 3. **Step b: Initial value of the vehicle** Assuming the vehicle decreases in value linearly at the average rate found, the initial value at year 0 is: Value at year 3 + (3 years * average yearly rate) = 24500 + 3 \times 2060 = 24500 + 6180 = 30680 4. **Step c: Value after 14 years** Value at year 0 - (14 years * average yearly rate) = 30680 - 14 \times 2060 = 30680 - 28840 = 1840 **Final answers:** a) Average yearly rate of decrease = 2060 b) Initial value = 30680 c) Value after 14 years = 1840