6
QuizMultiple Choice

Exponential Depreciation — Quiz

Question 6 • Advanced Financial Algebra

A business spends $75,000 to purchase equipment that depreciates by 8% annually. Which equation represents the depreciation after x years? Responses

Answer
A
y=75,000⁢x⁢(1−0.08)
B
y=75,000⁢(1+0.08)x
C
y=75,000−0.08⁢x
D
y=75,000⁢(1−0.08)x

Explanation

An 8% annual depreciation means the equipment retains 100% − 8% = 92% of its value each year, so its value is multiplied by 0.92 repeatedly. After x years, the value is y = 75,000(1 − 0.08)^x. This is choice C; choice A subtracts a fixed amount each year rather than 8% of the changing value.

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