Question

Melatonin is fast-acting and has a half-life of approximately 30 minutes. If you take a 10 milligram tablet, write an exponential equation to model this after t time periods.

Answer 1

The exponential equation to model the decay of melatonin after t time periods is A(t) = 10 · (1/2)t/30.

Step-by-step explanation:

To model the exponential decay of melatonin after time t periods, we can use the formula A(t) = A0 · (1/2)t/r, where A(t) is the amount of melatonin after t periods, A0 is the initial amount of melatonin (10 milligrams in this case), and r is the half-life of melatonin (30 minutes). So the exponential equation to model this is A(t) = 10 · (1/2)t/30.