A copier purchase new for $4800 depreciate in value $500 each year. What is the function that models this equation
The function that models this equation is:
V(t) = 4800 - 500t
Where:
V(t) represents the value of the copier at time t in years,
4800 is the initial value of the copier,
-500 is the rate at which the copier depreciates each year, and
t represents time in years.
To model the depreciation of the copier over time, we can use a linear equation of the form:
Value(t) = Initial Value - Rate of Depreciation * t
where:
- Value(t) represents the value of the copier at time t,
- Initial Value represents the initial purchase price ($4800 in this case),
- Rate of Depreciation represents the amount by which the copier depreciates each year ($500 in this case), and
- t represents the number of years.
Therefore, the function that models the depreciation equation is:
Value(t) = 4800 - 500t
To determine the function that models the depreciation of the copier, we need to consider the given information.
The copier's initial value is $4800, and it depreciates by $500 each year.
Let's break this down step by step.
First, we know that the initial value of the copier is $4800. This means that at the start, the copier's value is $4800.
Next, we are told that the copier depreciates by $500 each year. This means that every year, the value of the copier decreases by $500.
To model this equation, we need to use the concept of linear depreciation. In linear depreciation, the value of an asset decreases in a straight line over time.
The general equation for linear depreciation is:
Value = Initial value - (Depreciation per year × Number of years)
In this case, the initial value is $4800, the depreciation per year is $500, and the number of years can be represented as 'x' because it could be any number of years.
Therefore, the function that models the copier's depreciation equation is:
Value(x) = 4800 - (500x)
Here, 'Value(x)' represents the value of the copier after 'x' number of years.