A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original quantity after 8 hours (ie. after 6 hours, only 40% remains). Assume the quantity of the drug is modeled by an exponential equation. Give a function that describes the quantity of the drug (in milligrams) after t hour and determine how long until only 5% of the drug remains? Please use a calculator to get the final answer and round down to two decimal places.
A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original quantity after 8 hours (ie. after 6 hours, only 40% remains). Assume the quantity of the drug is modeled by an exponential equation. Give a function that describes the quantity of the drug (in milligrams) after t hour and determine how long until only 5% of the drug remains? Please use a calculator to get the final answer and round down to two decimal places.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 62SE: A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35...
Related questions
Question
100%
A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its
original quantity after 8 hours (ie. after 6 hours, only 40% remains). Assume the quantity of the
drug is modeled by an exponential equation. Give a function that describes the quantity of the drug
(in milligrams) after t hour and determine how long until only 5% of the drug remains? Please use a
calculator to get the final answer and round down to two decimal places.
Expert Solution
Step 1
We use radioactivity decay law
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill