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 3
Mathematics
kailey1025
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

1. User Answers Preetham123
In this case it seems to be the initial amount of the radioactive isotope that you started off with. 
2. User Answers isyllus
Answer:
346 is initial amount of radioactive isotopes.
Stepbystep 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.