Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.
<h3>What is an exponential function?</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.
- The amount decays by about 5% per year, hence r = 0.05.
Thus, the equation is given by:
After 11 years, the amount is given by:
The bottle contains 255,960 atoms of tritium after 11 years.
More can be learned about exponential functions at brainly.com/question/25537936