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

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) $\$ 500,000$