Question

A $659,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building, y, after x months of use is given by

y = 659,000 − 1800x dollars.
After how many months will the value of the building be $450,200?

Answer 1

116 months

Explanation:

A $659,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building, y, after x months of use is given by:

y = 659,000 − 1800x

After how many months will the value of the building be $450,200?

y = 659,000 − 1800x

450,200 = 659,000 − 1800x

subtract 659,000 from both sides:

450,200 - 659,000 = 659,000 − 1800x - 659,000

-208,800 = − 1800x

divide both sides by -1800:

-208,800/1800 = − 1800x/1800

116= x

so:

x = 116