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Home > A2C > Chapter 2 > Lesson 2.1.4 > Problem 2-54

2-54.
  1. Chelsea dropped a bouncy ball off the roof while Nery recorded its rebound height. The table below shows their data. Note that the 0 in the “Bounce” column represents the starting height. Homework Help ✎

    Bounce

    Rebound Height

    0

    800 cm

    1

    475 cm

    2

    290 cm

    3

    175 cm

    4

    100 cm

    5

    60 cm

    1. Find a function to model their data. To what family does the function belong? Explain how you know.

    2. Show the data as a sequence. Is the sequence arithmetic, geometric, quadratic, or something else? Justify your answer.

Look for a multiplier that will approximate the table entries.

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

t(n) = 800(0.6)n

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