BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. Suppose you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (BAC) is 0.6 mg/ mL.

(a) Find an exponential decay model for your BAC t hours after midnight.

(b) Graph your BAC and use the graph to determine when your BAC is 0.08 mg/mL.

Source: Adapted from P. Wilkinson et al., “Pharmacokinetics of Ethanol after Oral Administration in the Fasting State,” Journal of Pharmacokinetics and Biopharmaceutics 5 (1977): 207–24.

(a)

To determine

To find: The exponential decay model for BAC t hours after midnight.

Explanation

Given:

The half-life of BAC is 1.5 hours.[BAC-Body Alcohol Concentration]

The level of BAC = 0.6mg/mL.

Calculation:

Let B0 be the initial level of BAC.[B-BAC]

That is B0=0.6mg/mL .

After 1.5 hours the level of BAC is B1=12B0

B1=12B0mg/mL

After 3 hours the BAC level as follows,

B2=12B1B2=12(12B0)B2=122B0mg/mL

After 4.5 hours the BAC level as follows,

B3=12B2B3=12(122B0)B3=123B0mg/mL

After 6 hours the BAC level as follows,

B4=12<

(b)

To determine

The time for BAC level is 0.08mg/mL.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.1 P-41ESect-1.1 P-42ESect-1.1 P-43ESect-1.1 P-44ESect-1.1 P-45ESect-1.1 P-46ESect-1.1 P-47ESect-1.1 P-48ESect-1.1 P-49ESect-1.1 P-50ESect-1.1 P-51ESect-1.1 P-52ESect-1.1 P-53ESect-1.1 P-54ESect-1.1 P-55ESect-1.1 P-56ESect-1.1 P-57ESect-1.1 P-58ESect-1.1 P-59ESect-1.1 P-60ESect-1.1 P-61ESect-1.1 P-62ESect-1.1 P-63ESect-1.1 P-64ESect-1.1 P-65ESect-1.1 P-66ESect-1.1 P-67ESect-1.1 P-68ESect-1.1 P-69ESect-1.1 P-70ESect-1.1 P-71ESect-1.1 P-72ESect-1.1 P-73ESect-1.1 P-74ESect-1.1 P-75ESect-1.1 P-76ESect-1.1 P-77ESect-1.1 P-78ESect-1.1 P-79ESect-1.1 P-80ESect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.3 P-13ESect-1.3 P-14ESect-1.3 P-15ESect-1.3 P-16ESect-1.3 P-17ESect-1.3 P-18ESect-1.3 P-19ESect-1.3 P-20ESect-1.3 P-21ESect-1.3 P-22ESect-1.3 P-23ESect-1.3 P-24ESect-1.3 P-25ESect-1.3 P-26ESect-1.3 P-27ESect-1.3 P-28ESect-1.3 P-29ESect-1.3 P-30ESect-1.3 P-31ESect-1.3 P-32ESect-1.3 P-33ESect-1.3 P-34ESect-1.3 P-35ESect-1.3 P-36ESect-1.3 P-37ESect-1.3 P-38ESect-1.3 P-39ESect-1.3 P-40ESect-1.3 P-41ESect-1.3 P-42ESect-1.3 P-43ESect-1.3 P-44ESect-1.3 P-45ESect-1.3 P-46ESect-1.3 P-47ESect-1.3 P-48ESect-1.3 P-49ESect-1.3 P-50ESect-1.3 P-51ESect-1.3 P-52ESect-1.3 P-53ESect-1.3 P-54ESect-1.3 P-55ESect-1.3 P-56ESect-1.3 P-57ESect-1.3 P-58ESect-1.3 P-59ESect-1.3 P-60ESect-1.3 P-61ESect-1.3 P-62ESect-1.3 P-63ESect-1.3 P-64ESect-1.3 P-65ESect-1.3 P-66ESect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.4 P-17ESect-1.4 P-18ESect-1.4 P-19ESect-1.4 P-20ESect-1.4 P-21ESect-1.4 P-22ESect-1.4 P-23ESect-1.4 P-24ESect-1.4 P-25ESect-1.4 P-26ESect-1.4 P-27ESect-1.4 P-28ESect-1.4 P-30ESect-1.4 P-31ESect-1.4 P-32ESect-1.4 P-33ESect-1.4 P-34ESect-1.4 P-35ESect-1.4 P-36ESect-1.4 P-37ESect-1.4 P-38ESect-1.5 P-1ESect-1.5 P-2ESect-1.5 P-3ESect-1.5 P-4ESect-1.5 P-5ESect-1.5 P-6ESect-1.5 P-7ESect-1.5 P-8ESect-1.5 P-9ESect-1.5 P-10ESect-1.5 P-11ESect-1.5 P-12ESect-1.5 P-13ESect-1.5 P-14ESect-1.5 P-15ESect-1.5 P-16ESect-1.5 P-17ESect-1.5 P-18ESect-1.5 P-19ESect-1.5 P-20ESect-1.5 P-21ESect-1.5 P-22ESect-1.5 P-23ESect-1.5 P-24ESect-1.5 P-25ESect-1.5 P-26ESect-1.5 P-27ESect-1.5 P-28ESect-1.5 P-29ESect-1.5 P-30ESect-1.5 P-31ESect-1.5 P-32ESect-1.5 P-33ESect-1.5 P-34ESect-1.5 P-35ESect-1.5 P-36ESect-1.5 P-37ESect-1.5 P-38ESect-1.5 P-39ESect-1.5 P-40ESect-1.5 P-41ESect-1.5 P-42ESect-1.5 P-43ESect-1.5 P-44ESect-1.5 P-45ESect-1.5 P-46ESect-1.5 P-47ESect-1.5 P-48ESect-1.5 P-49ESect-1.5 P-50ESect-1.5 P-51ESect-1.5 P-52ESect-1.5 P-53ESect-1.5 P-54ESect-1.5 P-55ESect-1.5 P-56ESect-1.5 P-57ESect-1.5 P-58ESect-1.5 P-61ESect-1.5 P-62ESect-1.5 P-63ESect-1.5 P-64ESect-1.5 P-65ESect-1.5 P-66ESect-1.5 P-67ESect-1.5 P-68ESect-1.5 P-69ESect-1.5 P-70ESect-1.5 P-71ESect-1.5 P-72ESect-1.5 P-73ESect-1.5 P-74ESect-1.5 P-75ESect-1.5 P-76ESect-1.5 P-77ECh-1 P-1RCCCh-1 P-2RCCCh-1 P-3RCCCh-1 P-4RCCCh-1 P-5RCCCh-1 P-6RCCCh-1 P-7RCCCh-1 P-8RCCCh-1 P-9RCCCh-1 P-10RCCCh-1 P-11RCCCh-1 P-12RCCCh-1 P-13RCCCh-1 P-1RQCh-1 P-2RQCh-1 P-3RQCh-1 P-4RQCh-1 P-5RQCh-1 P-6RQCh-1 P-7RQCh-1 P-8RQCh-1 P-9RQCh-1 P-10RQCh-1 P-11RQCh-1 P-12RQCh-1 P-13RQCh-1 P-14RQCh-1 P-1RECh-1 P-2RECh-1 P-3RECh-1 P-4RECh-1 P-5RECh-1 P-6RECh-1 P-7RECh-1 P-8RECh-1 P-9RECh-1 P-10RECh-1 P-11RECh-1 P-12RECh-1 P-13RECh-1 P-14RECh-1 P-15RECh-1 P-16RECh-1 P-17RECh-1 P-18RECh-1 P-19RECh-1 P-20RECh-1 P-22RECh-1 P-23RECh-1 P-24RECh-1 P-25RECh-1 P-26RECh-1 P-27RECh-1 P-28RECh-1 P-1PCh-1 P-2PCh-1 P-3PCh-1 P-4PCh-1 P-5PCh-1 P-6PCh-1 P-7PCh-1 P-8PCh-1 P-9PCh-1 P-10PCh-1 P-11PCh-1 P-12PCh-1 P-13PCh-1 P-14PCh-1 P-15PCh-1 P-16PCh-1 P-17PCh-1 P-18PCh-1 P-19PCh-1 P-20P

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 4756, solve the given equation for the indicated variable. 27=32x1

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 89-94, determine whether the statement is true or false. If it is true, explain why it is true. If...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

For Problems 11-18, evaluate each expression. 2[ 3(2| 3 |) ]+11

Mathematical Applications for the Management, Life, and Social Sciences

Calculate y'. 46. y=ln|x242x+5|

Single Variable Calculus: Early Transcendentals

Convert the following mixed numbers to improper fractions. a. b. c.

Contemporary Mathematics for Business & Consumers

Add: (5)+(9)

Elementary Technical Mathematics

By determining the limit of Riemann sums, the exact value of dx is a) 7 b) 9 c) d) 18

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th