For tax purposes, a business depreciates its $240 comma 000 building using "straight-line depreciation" over 12 years by reducing its value by 1/12 of its original value each year. If we assume that the value of the building can be found or estimated at any point of time during this period, the value of the building can be modeled by the function yequals240 comma 000minus20 comma 000x, where x is the number of years. Complete parts (a) through (c).

Question

For tax​ purposes, a business depreciates its ​$240 comma 000 building using​ "straight-line depreciation" over 12 years by reducing its value by ​1/12 of its original value each year. If we assume that the value of the building can be found or estimated at any point of time during this​ period, the value of the building can be modeled by the function yequals240 comma 000minus20 comma 000​x, where x is the number of years. Complete parts ​(a) through ​(c).
what is the meaning of the y intercept

GPT-4o mini · Answer

In the context of the given function $ y = 240,000 - 20,000x $, where $ y $ represents the value of the building and $ x $ represents the number of years, the y-intercept refers to the value of $ y $ when $ x = 0 $. ### Meaning of the Y-Intercept: 1. **Value at Year Zero**: The y-intercept occurs when $ x = 0 $. Plugging in $ x = 0 $ into the equation gives: $$ y = 240,000 - 20,000(0) = 240,000 $$ This means that at the beginning (year 0), the value of the building is $240,000. 2. **Initial Investment**: The y-intercept represents the original value or cost of the building when it was purchased. It indicates the initial investment made by the business in the asset before any depreciation occurs. Overall, the y-intercept in this scenario reflects the starting point of the value of the building before it begins to depreciate each year.