Question

a $480 washing machine in a laundromat is depreciated for tax purposes at a rate of $80 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.)

Explanation:

Step1: Identify slope and intercept

The initial value (intercept \(b\)) is 480 (the cost of the washing machine). The depreciation rate is -80 per year (slope \(m\)), as the value decreases over time.

Step2: Use slope - intercept form

The slope - intercept form of a line is \(y = mx + b\). Here, \(V\) (value) is the dependent variable, \(t\) (time in years) is the independent variable, \(m=- 80\) and \(b = 480\). So the equation is \(V=-80t + 480\).

Answer:

\(V=-80t + 480\)