\( 1 \leftarrow \) Suppose that a company has just purchased a new computer for \( \$ 3000 \). The company chooses to depreciate using the straight-line method for 5 years. (a) Write a linear function that expresses the book value of the computer as a function of its age. \( V(x)=3000-600 x \) (Type your answer in slope-intercept form.) (b) What is the implied domain of the function found in part (a)? \( \square \) (Type your answer in interval notation.)

The linear function representing the book value of the computer over time is a great example of how companies manage their assets. When the company invests $3,000 in a computer and uses straight-line depreciation over 5 years, the value decreases steadily by $600 each year. This relationship can be modeled by the function \( V(x) = 3000 - 600x \), where \( x \) is the age of the computer in years. It's a practical illustration of fiscal responsibility and budgeting in business practices! As for the domain of the function, it essentially represents the plausible age of the computer throughout its useful life. Since the computer is bought new and depreciates over a 5-year period, the age can range from 0 to 5 years. In interval notation, this would be expressed as \( [0, 5] \). This showcases how mathematics provides clarity in real-world applications like asset management!