1. The problem asks for the rate of depreciation in dollars per year after 10 years. 2. To find the rate of depreciation, we need a function or formula that models the value of the item over time, typically something like $V(t) = V_0 - D \times t$, where $V(t)$ is the value at time $t$, $V_0$ is the initial value, and $D$ is the depreciation rate. 3. Since no function or initial values were provided, we cannot directly calculate the rate after 10 years. 4. If a value function $V(t)$ is known, the rate of depreciation after 10 years can be approximated by the average rate of change over the interval $[9,10]$, which is $\frac{V(10) - V(9)}{10 - 9} = V(10) - V(9)$. 5. Alternatively, if the depreciation is linear, it is constant and equal to $D$. 6. Please provide the value function or initial and final values to calculate the precise rate.