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