Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99m isotope is used. However, it takes about 24 hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relative intensity of radiation as a function of time. t(hrs) 0 1 3 5 7 9 R 1.000 0.891 0.708 0.562 0.447 0.355 The relative intensity is related to time by the equation R = A e^(Bt). Find the constant A by the least square method. (correct to 4 decimal places)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.4: Quadratic Equations And Applications
Problem 117E: Doctors treated a patient at an emergency room from 2:00P.M. to 7:00P.M. The patient’s blood oxygen...
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Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99m isotope is used. However, it takes about 24
hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relative intensity of radiation as a function of time.
t(hrs) 0 1 3
5 7
9
R 1.000 0.891 0.708 0.562 0.447 0.355
The relative intensity is related to time by the equation R = A e^(Bt).
Find the constant A by the least square method. (correct to 4 decimal places)
Transcribed Image Text:Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99m isotope is used. However, it takes about 24 hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relative intensity of radiation as a function of time. t(hrs) 0 1 3 5 7 9 R 1.000 0.891 0.708 0.562 0.447 0.355 The relative intensity is related to time by the equation R = A e^(Bt). Find the constant A by the least square method. (correct to 4 decimal places)
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