6. Let A(t) be the amount of caffeine (in mg) in the bloodstream t hours after a cup of coffee has been consumed (see figure). dA a. What does A'(t)= yA represent? dt 100 80 y = A(t) 60 40 b. Use the graph to estimate the values of A'(7) and A'(15), rounding answers to the nearest whole number. Include units in your answers and interpret meaning of these values in the context of the function. 20 0. 8. 12 16 Time (hours) 4 20 Amount of caffeine (mg)
6. Let A(t) be the amount of caffeine (in mg) in the bloodstream t hours after a cup of coffee has been consumed (see figure). dA a. What does A'(t)= yA represent? dt 100 80 y = A(t) 60 40 b. Use the graph to estimate the values of A'(7) and A'(15), rounding answers to the nearest whole number. Include units in your answers and interpret meaning of these values in the context of the function. 20 0. 8. 12 16 Time (hours) 4 20 Amount of caffeine (mg)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Solve plz
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt