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The length of a rope is measured and recorded in the following table. Knots were tied in the rope, one at a time. After each

    • The length of a rope is measured and recorded in the following table. Knots were tied in the rope, one at a time. After each knot was added, the length of the rope was measured and recorded. A total of five knots were tied.
Number of knots012345
Length of rope (cm)1009284766860

      1. 1 What is the independent variable in this situation? What is the dependent variable? Explain.
      2. 3 2 What is the domain of the situation? What is the range of the situation?
      3. Create a scatterplot of the length l of the rope versus the number of knots n tied in the rope. Describe your graph.
      4. 4 What are the coordinates of the l-intercept in this situation?
      5. 5 In symbolic form, this function can be represented as l=−8n+100l=−8n+100. Use this equation to predict the length of the rope when 11 knots are tied in it.

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