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A chemist has a 100-gram sample of a radioactive material.

Precalculus Enhanced with Graphing Utilities | 6th Edition | ISBN: 9780132854351 | Authors: Michael Sullivan ISBN: 9780132854351 232

Solution for problem 3 Chapter 5.9

Precalculus Enhanced with Graphing Utilities | 6th Edition

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Precalculus Enhanced with Graphing Utilities | 6th Edition | ISBN: 9780132854351 | Authors: Michael Sullivan

Precalculus Enhanced with Graphing Utilities | 6th Edition

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Problem 3

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 7 weeks and obtains the following data: Week Weight (in Grams) 0 1 2 3 69.4 100.0 88.3 75.9 4 5 59.1 51.8 6 45.5 (a) Using a graphing utility, draw a scatter diagram with week as the independent variable. (b) Using a graphing utility, build an exponential model from the data. (c) Express the function found in part (b) in the form A1t2 = A0 ekt. (d) Graph the exponential function found in part (b) or (c) on the scatter diagram. (e) From the result found in part (b), determine the half-life of the radioactive material. (f) How much radioactive material will be left after 50 weeks? (g) When will there be 20 grams of radioactive material?

Step-by-Step Solution:
Step 1 of 3

S343 Section 2.5 Notes- Autonomous Equations and Population Dynamics 9-6-16  Autonomous equation- = where /independent variable does not appear explicitly o Separable; several uses as models for exponential/logistic growth  Exponential Growth o Let = () be population at time ; rate of change of proportional to current value of  = where = rate of growth/decline = 1 = 1 ∫ = ∫ ln = +

Step 2 of 3

Chapter 5.9, Problem 3 is Solved
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Textbook: Precalculus Enhanced with Graphing Utilities
Edition: 6
Author: Michael Sullivan
ISBN: 9780132854351

This textbook survival guide was created for the textbook: Precalculus Enhanced with Graphing Utilities, edition: 6. The answer to “A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 7 weeks and obtains the following data: Week Weight (in Grams) 0 1 2 3 69.4 100.0 88.3 75.9 4 5 59.1 51.8 6 45.5 (a) Using a graphing utility, draw a scatter diagram with week as the independent variable. (b) Using a graphing utility, build an exponential model from the data. (c) Express the function found in part (b) in the form A1t2 = A0 ekt. (d) Graph the exponential function found in part (b) or (c) on the scatter diagram. (e) From the result found in part (b), determine the half-life of the radioactive material. (f) How much radioactive material will be left after 50 weeks? (g) When will there be 20 grams of radioactive material?” is broken down into a number of easy to follow steps, and 138 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 114 chapters, and 8075 solutions. The full step-by-step solution to problem: 3 from chapter: 5.9 was answered by , our top Math solution expert on 01/11/18, 01:38PM. Since the solution to 3 from 5.9 chapter was answered, more than 298 students have viewed the full step-by-step answer. Precalculus Enhanced with Graphing Utilities was written by and is associated to the ISBN: 9780132854351.

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A chemist has a 100-gram sample of a radioactive material.