$\text { The rate of depreciation } d V / d t \text { of a machine is inversely proportional to the square }$

question 163

Multiple Choice

$\text { The rate of depreciation } d V / d t \text { of a machine is inversely proportional to the square }$ of $t + 2$ , where $V$ is the value of the machine $t$ years after it was purchased. The initial value of the machine was $\$ 500,000$ , and its value decreased $\$ 100,000$ in the first year. Estimate its value after 6 years. Round your answer to the nearest integer.

• A) \(\$ 275,000\)
• B) \(\$ 475,000\)
• C) \(\$ 550,000\)
• D) \(\$ 350,000\)
• E) \(\$ 500,000\)