Step 1 :Let's denote the depreciated value of the washing machine as V and the time in years as t. The washing machine depreciates at a rate of $95 per year, so we can express this as a linear equation: V = 1235 - 95t.
Step 2 :To find when the depreciated value reaches $0, we set V equal to 0 and solve for t: 0 = 1235 - 95t.
Step 3 :Solving this equation gives us t = 13.
Step 4 :So, the function for the depreciated value of the washing machine as it varies with time is \(V=1235 - 95t\).
Step 5 :And it takes \(\boxed{13}\) years for the machine to depreciate to $0.