1 / 5

Modeling Caffeine Levels in the Body over Time

This activity explores the use of functions to model the amount of caffeine remaining in the body after consuming coffee or tea. It investigates different methods to find the parameters of the functions and compares the effectiveness of different models in fitting the data.

krugerj
Download Presentation

Modeling Caffeine Levels in the Body over Time

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Nuffield Free-Standing Mathematics Activity Cup of coffee

  2. Cup of coffee How long does the buzz from caffeinated drinks last?

  3. Cup of coffee The amount of caffeine (mg) remaining in the body after t hours is measured from the time the caffeine level reached its peak value

  4. Caffeine remaining for a non-smoking adult 140 120 100 Amount of caffeine (mg) 80 Coffee Tea 60 40 20 0 5 10 15 20 25 Time (hours) Which functions could be used to model these data sets? How could you find the parameters?

  5. Cup of coffee • Reflect on your work • What types of functions did you use to model the data? • Which method of finding parameters did you use?Do you think it was the most effective? • How well did your models fit the data? • Compare your models with those found by other students. Which model gave the best fit?

More Related