A small business buys spends $3,500 for office furniture, which depreciates by 10% per year. How long will it take for the furniture to depreciate to $1,500 ? The equation modeling this depreciation is y=3,500⁢(0.90)^x

Set the model equal to the target value: 1,500 = 3,500(0.90)^x. Divide by 3,500 to get (0.90)^x = 1,500/3,500, then take logarithms: x = ln(1,500/3,500)/ln(0.90) ≈ 8.04. It will take about 8.04 years, which is choice D.

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