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 x intercept

GPT-4o mini · Answer

To find the x-intercept of the function $ y = 240,000 - 20,000x $, you need to set $ y $ to 0 and solve for $ x $:

\[ 0 = 240,000 - 20,000x \]

Now, isolate $ x $:

\[ 20,000x = 240,000 \]

\[ x = \frac{240,000}{20,000} \]

\[ x = 12 \]

Thus, the x-intercept is at $ (12, 0) $. This indicates that after 12 years, the value of the building will be zero.