Answer:
125 * (0.88)^t where t is the time in hours.
Step-by-step explanation:
The formula for exponential decay is y = a(1-r)^t, where y is the amount remaining after t time, a is the initial amount, and r is the decay rate.
In this case, the initial amount is 125 mg and the decay rate is 12% or 0.12 per hour. Since the amount of antibiotic is decreasing, we need to use (1-r) instead of (1+r) in the formula.
Substituting the given values in the formula, we get:
y = 125 * (1-0.12)^t
y = 125 * (0.88)^t
Therefore, the exponential decay function to model the amount of a 125-mg dose of a certain antibiotic that decreases in your bloodstream at a rate of 12% per hour is y = 125 * (0.88)^t.
Step-by-step explanation: