Answer:
dA/dt = 12 - 0.03A.
Step-by-step explanation:
The rate at which the toxin is taken in or ingested throughout the day Increases by 12 micrograms a day.
The rate at which the toxin is taken out throughout the day decrease by 3 percent that is 0.03.
The differential equation for the amount of toxin, A, in micrograms, in the person's body as a function of the number of days, t = dA/dt.
The rate at which the toxin is taken in or ingested makes dA/dt more positive.
The rate at which the toxin is taken out throughout the day makes dA/dt more negative.
Therefore, dA/dt = (rate at which the toxin is taken in or ingested) - ( The rate at which the toxin is taken out throughout the day).
Hence, dA/dt = 12 - 0.03A
