The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 410 kg. How many kilograms can a 1-m beam support?

Because the supported weight varies inversely with beam length, weight × length stays constant. For the 2-m beam, that constant is 410 × 2 = 820, so a 1-m beam supports 820 ÷ 1 = 820 kg. The correct choice is 820 kg.

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