A \$1235 washing machine in a laundromat is depreciated for tax purposes at a rate of $\$ 95$ per year. Find a function for the depreciated value of the washing machine as it varies with time. When does the depreciated value reach $\$ 0$ ?
The equation of the line in slope-intercept form is $V=\square$.
(Type your answer in slope-intercept form. Type an expression using $t$ as the variable. Do not include the \$ symbol in your answer.)
It takes $\square$ years for the machine to depreciate to $\$ 0$.
Answer
And it takes \(\boxed{13}\) years for the machine to depreciate to $0.
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.
