A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (seconds) Mass

Question

A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (seconds) Mass (grams) 10 26.8 20 23.9 30 21.3 40 19.0 50 16.9 60 15.1 Which equation best represents the curve of best fit for this set of data? A. f(x) = 29 • 0.989x B. f(x) = 27 • 1.011x C. f(x) = 30 • 0.989x D. f(x) = 28 • 0.234x

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MichaelMet 4 years 2021-08-14T09:53:08+00:00 1 Answers 109 views 0

Answers ( )

  1. haidang
    0
    2021-08-14T09:54:38+00:00
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    Answer:

    f(x) = 30 • 0.989x

    Step-by-step explanation:

    Given the data :

    10 26.8

    20 23.9

    30 21.3

    40 19

    50 16.9

    60 15.1

    Using technology, the exponential model equation obtained by plotting the data is :

    y = 30.068(0.989)^x

    Based on the general exponential formula :

    y = ab^x

    y = predicted value

    Initial value, a = 30.068

    Rate = b = 0.989

    The most appropriate model equation from the options given is :

    f(x) = 30 • 0.989^x

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