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

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To what family does the function belong? Explain how you know. To what family does the function belong? Explain how you know. Write the data as a sequence. Is the sequence arithmetic, geometric, or something else? Justify your answer. Bounce Rebound Height 1 475 cm 2 290 cm 3 175 cm 4 100 cm 5 60 cm

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Gia Bảo 3 years 2021-07-28T01:06:50+00:00 1 Answers 70 views 0

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  1. Acacia
    1
    2021-07-28T01:08:00+00:00
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    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.

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