Caffeine has a half-life of 4.9 hours. An average 8 ounce soda contains 31 milligrams (mg) of caffeine. Suppose you consume an average 8 ounce soda. Use the exponential decay model - Yoekt Y = where t is measured in hours, to write an exponential decay function for amount (milligrams) of caffeine in your body, t hours after consuming the soda. Round the decay constant to four significant figures. After 18 hours, how many milligrams of caffeine will be left in your body? Round the solution to one decimal place, if necessary.. milligrams Assuming no additional caffeine is consumed, how many hours will it take for the amount of caffeine in your body to reduce to 0.6 mg? Round the solution to the nearest whole number. hours Question Help: Video Submit AlI Parts

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
icon
Related questions
Question
Caffeine has a half-life of 4.9 hours. An average 8 ounce soda contains 31 milligrams (mg) of caffeine.
Suppose you consume an average 8 ounce soda.
Use the exponential decay model
Y = Yoe
%3D
where t is measured in hours, to write an exponential decay function for amount (milligrams) of caffeine in
your body, t hours after consuming the soda. Round the decay constant to four significant figures.
After 18 hours, how many milligrams of caffeine will be left in your body? Round the solution to one
decimal place, if necessary.-
milligrams
Assuming no additional caffeine is consumed, how many hours will it take for the amount of caffeine in
your body to reduce to 0.6 mg? Round the solution to the nearest whole number.
hours
Video
Question Help:
Submit Al Parts
Transcribed Image Text:Caffeine has a half-life of 4.9 hours. An average 8 ounce soda contains 31 milligrams (mg) of caffeine. Suppose you consume an average 8 ounce soda. Use the exponential decay model Y = Yoe %3D where t is measured in hours, to write an exponential decay function for amount (milligrams) of caffeine in your body, t hours after consuming the soda. Round the decay constant to four significant figures. After 18 hours, how many milligrams of caffeine will be left in your body? Round the solution to one decimal place, if necessary.- milligrams Assuming no additional caffeine is consumed, how many hours will it take for the amount of caffeine in your body to reduce to 0.6 mg? Round the solution to the nearest whole number. hours Video Question Help: Submit Al Parts
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage