The equation to show the depreciation at the end of x years is
[tex]f(x) = 1500 - 200x[/tex]
Data;
- cost of machine = 1500
- annual depreciation value = x
Linear Equation
This is an equation written to represent a word problem into mathematical statement and this is easier to solve.
To write a linear depreciation model for this machine would be
For number of years, the cost of the machine would become
[tex]1500 - 200x[/tex]
This is properly written as
[tex]f(x) = 1500 - 200x[/tex]
where x represents the number of years.
For example, after 5 years, the value of the machine would become
[tex]f(x) = 1500 - 200x\\f(5) = 1500 - 200(5)\\f(5) = 1500 - 1000\\f(5) = 500[/tex]
The value of the machine would be $500 at the end of the fifth year.
From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x
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