Exam-Style Question on Exponential Models
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 373. This question is similar to one that appeared on an IB Standard paper in 2019. The use of a calculator is allowed.
Fifty milligrams of a certain type of medicine has been shown to enter the bloodstream of an adult according to the following equations:
where \(t\) is measured in minutes and \( t\ge 0 \)
(a) State the initial rate at which the medicine enters the bloodstream.
(b) Calculate the time it takes before the rate at which the medicine enters the bloodstream is halved.
(c) Find the rate of the medicine entering the bloodstream when there is 25 mg present in the bloodstream.
(d) Sketch both R and A on the same axes. Indicate clearly any intercepts and the equations of the horizontal asymptotes.
(e) Will the patient ever feel the full effect of the 50-milligram dose?
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2021 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/