A cup of coffee contains 97 mg of caffeine. Define a function, ff that gives the amount of caffeine remaining in the blood stream tt hours after the coffee was consumed.      How many hours will it take for the amount of caffeine to reach half of the amount in the initial cup of coffee?  hours    A double shot of espresso contains 130 mg of caffeine. Define a function, g, that gives the amount of caffeine remaining in the blood stream x hours after the espresso was consumed.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
icon
Related questions
icon
Concept explainers
Topic Video
Question

The amount of caffeine in the bloodstream decreases by 27% every hour.

  1. A cup of coffee contains 97 mg of caffeine. Define a function, ff that gives the amount of caffeine remaining in the blood stream tt hours after the coffee was consumed.

        

  2. How many hours will it take for the amount of caffeine to reach half of the amount in the initial cup of coffee?

     hours   

  3. A double shot of espresso contains 130 mg of caffeine. Define a function, g, that gives the amount of caffeine remaining in the blood stream x hours after the espresso was consumed.

        

  4. How many hours will it take for the amount of caffeine to reach half of the amount in the initial espresso?

     hours   

  5. A can of Rock Star energy drink has 180 mg of caffeine in it. How long after you consume the Rock Star will the caffeine in your blood stream decrease to 90 mg?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning