Question

These exercises use the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 22 -mg sample. Find a function that models the mass remaining after t years.

Answer 1

The function that models the mass remaining after t years is A(t) = 22 × (1/2)(t/1600).

Step-by-step explanation:

To find a function that models the mass remaining after t years, we can use the general formula for radioactive decay: A(t) = A0 × (1/2)(t/h), where A(t) is the mass remaining after t years, A0 is the initial mass, t is the time in years, and h is the half-life in years.

In this case, the initial mass is 22 mg and the half-life is 1600 years. So, the function that models the mass remaining after t years is A(t) = 22 × (1/2)(t/1600).