The question is incomplete, the complete question is;
Chelsea dropped a bouncy ball off the roof while Nery recorded its rebound height. The table shows their data. Note that the 0 in the "Bounce " column represents the starting height. To what family does the function belong? Explain how you know. b. Show the data as a sequence. Is the sequence arithmetic, geometric, quadratic, or something else? Justify your answer.
Bounce Rebound Height 0 800 cm 1 475 cm 2 290 cm 3 175 cm 4 100 cm 5 60 cm
Answer:
exponential
Geometric
Step-by-step explanation:
We have to test the data to know where it falls in. Let us just take three data points for our test.
To test if it is AP;
475 - 800 = -325
290 - 475 = 185
It is not an AP
Let us test if it is exponential with three data points
475/800 = 0.6
290/475 = 0.6
It is exponential hence we can write;
t(n) = 800(0.6)^n-1
Since a common difference that can always be approximated to 0.6 is obtained throughout, the sequence is geometric.
