Question

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Answer 1

The equation to show the depreciation at the end of x years is

$f(x) = 1500 - 200x$

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

$1500 - 200x$

This is properly written as

$f(x) = 1500 - 200x$

where x represents the number of years.

For example, after 5 years, the value of the machine would become

$f(x) = 1500 - 200x\\f(5) = 1500 - 200(5)\\f(5) = 1500 - 1000\\f(5) = 500$

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

Learn more on linear equations here;

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