Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Using an exponential function, it would take 824 minutes before the amount of medication in Aldi's bloodstream is effectively 0.
How to determine the time
A decaying exponential function is given as;
[tex]A(t) = A(0)e^-kt[/tex]
Where A = initial value
k = decay constant
We have the half-life of amoxicillin as 62minutes, to determine k, we get
[tex]A(62) = 0. 5(0)[/tex]
[tex]A(62) = 0.5A(0)[/tex]
[tex]0. 5A(0) = A(0) e^{-62k}[/tex]
Solve the exponential function thus
[tex]e^{-62k} = 0. 5[/tex]
㏑ [tex]e^{-62k}[/tex] = ㏑ 0. 5
- 62k = ㏑ 0.5
Make k subject of formula
k = -㏑[tex]\frac{0. 5}{62}[/tex]
k = 0. 011179
The equation is given by
[tex]A(t) = A(0)e^-0.011179[/tex]
We have
[tex]0. 0001A(0) = A(0)e^-0.01179[/tex]
[tex]e^-0.011179t = 0. 0001[/tex]
㏑ [tex]e^-0.011179[/tex] = ㏑ 0.0001
[tex]-0.011179t = In 0.0001[/tex]
t = [tex]-\frac{In 0. 0001}{0. 011179}[/tex]
t = [tex]824[/tex]
Therefore, it would take 824 minutes before the amount of medication in Aldi's bloodstream is effectively 0.
Learn more about half-life here:
https://brainly.com/question/26148784
#SPJ1
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
