Final answer:
The equation modeling the condition is : A_t = 20 mg * (0.5)^t/3
Step-by-step explanation:
The equation modeling the half-life of morphine can be represented as:
A_t = A0(0.5)^t/h
Where:
- A_t is the amount of morphine remaining after time t
- A_0 is the initial amount of morphine
- t is the time passed
- h is the half-life of morphine
If the half-life of morphine is 3 hours and the initial dose is 20 mg, the equation would be:
A_t = 20 mg * (0.5)^t/3