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25 December, 01:54

The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.

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Answers (2)
  1. 25 December, 02:11
    0
    The tree house is 8 feet off the ground, or 96 inches up because (8) (12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2 (8) = 112 inches of rope.
  2. 25 December, 02:17
    0
    L (k) = 8 (12) + 2k

    L (k) = 96+2k

    L (8) = 96+2 (8)

    L (8) = 96+16

    L (8) = 112in
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