Question

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.

Answer 1

L(k)=8(12)+2k

L(k)=96+2k

L(8)=96+2(8)

L(8)=96+16

L(8)=112in

Answer 2

The amount of inches of rope that are needed if there are 8 knots is 112 inches.

Inches of rope needed

Since each knot uses an additional 2 inches of rope

Hence;

8×2=16 inches

Inches for the rope=8 feet× 12 inches per foot

Inches for the rope= 96 inches

Number of inches of rope needed:

Number of inches=16+96

Number of itches=112 inches

Inconclusion the amount of inches of rope that are needed if there are 8 knots is 112 inches.

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