HELP HELP HELP The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil r

Question

HELP HELP HELP

The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550

A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%

Of its carbon remaining.

Select the correct answers

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Nick 5 years 2021-08-20T20:09:14+00:00 2 Answers 17 views 0

Answers ( )

  1. thnahdat
    0
    2021-08-20T20:10:23+00:00
    Reply

    Answer:

    2998 ; 17%

    Step-by-step explanation:

    Given the function:

    t(c)=-3970.9(ln c)

    c = % of carbon remaining ; t = time

    1.) c = 47% = 47/100 = 0.47

    t(0.47) = – 3970.9(In 0.47)

    t = – 3970.9 * −0.755022

    t = 2998.119

    t = 2998

    B.)

    t = 7000

    t(c)=-3970.9(ln c)

    7000 = – 3970.9(In c)

    7000 / – 3970.9 = In c

    −1.762824 = In c

    c = exp(−1.762824)

    c = 0.1715596

    c = 0.1715596 * 100%

    c = 17.156% ; c = 17%

  2. Tryphena
    0
    2021-08-20T20:10:51+00:00
    Reply

    Answer:  For plato family

    The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

    Use function t to complete the statements.

    A fossil with 47%    of its carbon-14 remaining is approximately

    years old.

    A fossil that is 7,000 years old will have approximately

           17%     of its   carbon-14 remaining.

    Step-by-step explanation:

     The  first  box is  2,998

      The  second  box is 17%

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