stence of drugs in the human body often follows an exponential model. Suppose that a new drug follows the model M,(0.79), where Mo is the mass of dose taken, M is the mass remaining in the body, and h is the number of hours that M = have passed since the dose was taken. a) A standard dose is 100 mg. Sketch a graph showing the mass remaining in the body up to 48 h. b) Use your graph to estimate the half-life of this drug in the body. Check your estimate using the equation. c) Once the mass remaining drops below 1 mg, the standard test can no longer detect the drug. How-long will it take before the drug is no longer detectable? Use a graphing calculator.
stence of drugs in the human body often follows an exponential model. Suppose that a new drug follows the model M,(0.79), where Mo is the mass of dose taken, M is the mass remaining in the body, and h is the number of hours that M = have passed since the dose was taken. a) A standard dose is 100 mg. Sketch a graph showing the mass remaining in the body up to 48 h. b) Use your graph to estimate the half-life of this drug in the body. Check your estimate using the equation. c) Once the mass remaining drops below 1 mg, the standard test can no longer detect the drug. How-long will it take before the drug is no longer detectable? Use a graphing calculator.
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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Transcribed Image Text:The persistence of drugs in the human body often follows an exponential model.
Suppose that a new drug follows the model
M = M,(0.79) , where Mo is the mass of the
dose taken, M is the mass remaining in the body, and h is the number of hours that
%3D
have passed since the dose was taken.
a) A standard dose is 100 mg. Sketch a graph showing the mass remaining in the
body up to 48 h.
b) Use your graph to estimate the half-life of this drug in the body. Check your
estimate using the equation.
c) Once the mass remaining drops below 1 mg, the standard test can no longer
detect the drug. How-long will it take before the drug is no longer detectable? Use a
graphing calculator.
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