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Cancer Risk Assessment of Beryllium in Soil: Formula and Functions, Study Guides, Projects, Research of Introduction to Business Management

Capital Community CollegeIntroduction to Business Management

Instructions for calculating the cancer risk due to the presence of beryllium in soil through linear functions. Formulas for cancer risk from ingestion and inhalation of beryllium, as well as functions c1(x), c2(x), and c3(x) for total cancer risk. The document also includes discussion questions regarding clean up options based on beryllium concentrations and site considerations.

Typology: Study Guides, Projects, Research

Pre 2010

Uploaded on 08/05/2009

koofers-user-iab
koofers-user-iab 🇺🇸

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Project Grant Team
John S. Pazdar Patricia L. Hirschy
Project Director Principal Investigator
Capital Comm-Tech College Asnuntuck Comm-Tech College
Hartford, Connecticut Enfield, Connecticut
This project was supported, in part, by the Peter A. Wursthorn
National Science Foundation Principal Investigator
Opinions expressed are those of the authors Capital Comm-Tech College
and not necessarily those of the Foundation Hartford, Connecticut
NASA - AMATYC - NSF
5.17
SPINOFFS
Spinoffs are relatively short learning modules inspired by the LTAs. They can be easily
implemented to support student learning in courses ranging from prealgebra through calculus.
The Spinoffs typically give students an opportunity to use mathematics in a real world context.
LTA - SPINOFF 5A Functional Risk Assessment
LTA - SPINOFF 5B Slugging It Out
LTA - SPINOFF 5C Calculating the Reference Dose
LTA - SPINOFF 5D Using the World Wide Web to Do Risk Assessment
LuAnn Malik - AMATYC Writing Team Member
Community College Of Aurora, Aurora, Colorado
(Currently at Community College of Arapahoe, Colorado)
Pete Wildman - AMATYC Writing Team Member
Casper College, Casper, Wyoming
Joe Voor - NASA Scientist/Engineer
Kennedy Space Center, Florida
(Currently at The Johnson Space Center, Houston, Texas.)
pf3

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Project Grant Team

John S. Pazdar Patricia L. Hirschy Project Director Principal Investigator Capital Comm-Tech College Asnuntuck Comm-Tech College Hartford, Connecticut Enfield, Connecticut

This project was supported, in part, by the Peter A. Wursthorn National Science Foundation Principal Investigator Opinions expressed are those of the authors Capital Comm-Tech College and not necessarily those of the Foundation Hartford, Connecticut

NASA - AMATYC - NSF

SPINOFFS

Spinoffs are relatively short learning modules inspired by the LTAs. They can be easily implemented to support student learning in courses ranging from prealgebra through calculus. The Spinoffs typically give students an opportunity to use mathematics in a real world context.

LTA - SPINOFF 5A Functional Risk Assessment

LTA - SPINOFF 5B Slugging It Out

LTA - SPINOFF 5C Calculating the Reference Dose

LTA - SPINOFF 5D Using the World Wide Web to Do Risk Assessment

LuAnn Malik - AMATYC Writing Team Member Community College Of Aurora, Aurora, Colorado (Currently at Community College of Arapahoe, Colorado)

Pete Wildman - AMATYC Writing Team Member Casper College, Casper, Wyoming

Joe Voor - NASA Scientist/Engineer Kennedy Space Center, Florida (Currently at The Johnson Space Center, Houston, Texas.)

NASA - AMATYC - NSF

SPINOFF 5A

Functional Risk Assessment

Your supervisor was quite impressed with your fine work on the risk assessment of the Hansom Landfill Site. However, she has recently learned that the lab results for concentration of beryllium in the soil are faulty. Due to time and financial constraints, she determines that you are unable to wait for new lab results. She asks you to do a more in-depth analysis of the Cancer Risk for industrial workers due to the presence of beryllium in the soil at the site. In particular she wants you to use linear functions to analyze the information in Part 2 of LTA 5. Recall that beryllium is a metal, which is carcinogenic. Since it is in the soil you need to consider two cases: the Cancer Risk due to ingestion of soil and the Cancer Risk due to breathing airborne soil.

  1. Refer to the material for Part 2 of LTA 5, and write the formula for Cancer Risk from ingestion of soil below.

Cancer Risk = __________________________________________

  1. Since the lab results for the Chemical Concentration of beryllium may be faulty, you are to create a function, C 1 (x), which gives the Cancer Risk for an industrial worker at the site due to the ingestion of beryllium in the soil. Use the Chemical Concentration of beryllium as the independent variable, x.

C 1 (x) = _______________________________________________

  1. Now create a function, C 2 (x), which gives the Cancer Risk for an industrial worker at the site due to inhalation of beryllium in airborne soil. Use the Chemical Concentration of beryllium as the independent variable, x.

C 2 (x) = _______________________________________________

  1. Now use your answers from Exercises 2 and 3 to produce a function, C 3 (x), which gives the total Cancer Risk at the site due to the presence of beryllium in the soil.

C 3 (x) = _______________________________________________

  1. What are appropriate values for the domain and range of the functions C 1 (x), C 2 (x), and C 3 (x)? Justify your answer.