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Home > CC4 > Chapter 5 > Lesson 5.2.1 > Problem 5-46

5-46.

Chelsea dropped a bouncy ball off the roof while Nery recorded its rebound height. The table at right shows their data. Homework Help ✎

  1. To what family does the function belong? Explain how you know.

    Look for a multiplier that will approximate the table entries.

    The function is exponential, because the ratio of one rebound is roughly constant.

  1. Write the data as a sequence. Is the sequence arithmetic, geometric, or something else? Justify your answer.

    The function is roughly geometric, even though it is not exact.

Bounce

Rebound Height

 cm

 cm

 cm

 cm

 cm