Chelsea dropped a bouncy ball off the roof while Nery recorded its rebound height. The table at right shows their data. Note that the $0$ in the “Bounce” column represents the starting height.

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

   Hint (a):

   Look for a multiplier that will approximate the table entries.

   Answer (a):

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

   $t(n)=800(0.6)^n$

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

   Answer (b):

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