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Part 1
The weight P in pounds that a beam can safely carry is inversely proportional to the distance D in feet between the supports of the beam. For a certain type of wooden​ beam, Upper P equals StartFraction 11 comma 000 Over Upper D EndFraction
. What distance between supports is needed to carry 2500 ​lb?
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Part 1
For the beam to support a weight of 2500 ​lb, the distance between the supports needs to be no more than

\( D = \frac{11000}{2500} = 4.4 \) feet.

Therefore, the distance between supports needed to carry 2500 lb is 4.4 feet or less.