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Home > CC2 > Chapter 3 > Lesson 3.2.2 > Problem 3-48

3-48.

Each of the diagrams below represents tightrope moves for an acrobat. For each diagram:  

  • Describe what the diagram shows about the routine and the length of the tightrope.

  • Figure out the length of the acrobat’s trick.

  1. 2 equal length line segments: Top, 4 sections: first 3 equal sections labeled, n, and last, different length, section, labeled 10. Bottom, undivided, labeled 28.

    This is similar to writing an expression for an acrobat's routine. Think of the tricks as being numerical lengths of the rope.

    First, describe the routine based on the diagram.

    The acrobat performs a trick three times and then walks feet to get to the end of the foot tight rope.

    Next, determine how far each trick travels. Looking at the tightropes, the 's match up with feet. Since unknown, but equal, lengths combine to make feet, you know that each length is feet.

    2 equal length line segments: Top line segment, 4 sections: first 3 equal sections labeled, n, and last, different length,  labeled 10. Bottom line segment, undivided, labeled 18 feet under the 3 n's with the total length equal to 28.

    The trick travels feet.

  2. 2 equal length line segments: Top, 2 equal sections labeled, x. Bottom, undivided, labeled 7.

    Follow the same steps as in part (a).