Mathematics

Question

The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x and f(1) = 173. What does the 346 represent?

2 Answer

  • In this case it seems to be the initial amount of the radioactive isotope that you started off with.

  • Answer:

    346 is initial amount of radioactive isotopes.

    Step-by-step explanation:

    The amount of a radioactive isotope decays in half every year.

    The amount of the isotope can be modeled by

    [tex]f(x)=346(\frac{1}{2})^x[/tex]

    f(1)=173

    We are given half life of isotope is 1 year.

    f(x) represents the amount of isotope left after x years.

    f(1) represents half amount of radioactive isotope.

    If we x=0 into model

    [tex]f(0)=346(\frac{1}{2})^0[/tex]

    [tex]f(0)=346[/tex]

    x=0 means initial value of time.

    Therefore, 346 represents the initial amount of the radioactive isotopes.

    Hence, 346 is initial amount of isotopes.

NEWS TODAY