Using an exponential function, it is found that there will be only 3 milligrams remaining in the patient's system after 201 minutes.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, initially, there are 11 milligrams on the patient's system, hence A(0) = 11. After 70 minutes there are 7 milligrams, hence A(70) = 7, and this is used to find r.
1 - r = 0.99356387084
r = 1 - 0.99356387084
r = 0.00643612916
Hence the equation for the amount after t minutes is:
In will be of 3 mg when A(t) = 3, hence:
t = 201
There will be only 3 milligrams remaining in the patient's system after 201 minutes.
More can be learned about exponential functions at brainly.com/question/25537936