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In Unit 4 you will be learning about rational expressions. Rational expressions have a wide variety of uses in our world. One major application is in the medical field. There are a plethora of medical problems that are solved using rational expressions. You will find an example of these types of problems in the Unit 4 Discussion.
There are three parts to the Unit 4 Discussion activity. Be sure to complete all three components to earn the most points! Click on the Discussion link located below the unit button to the left for full details and instructions.
Rational Expressions
The Evil Genius
Part 1: An evil genius was present at your birth. Unbeknownst to you or your mom, you were injected with 100 cubic centimeters (cc) of a docile radioactive material as an experiment the moment you were born. You have recently discovered the unauthorized addition and want to know how much of the substance is still left in your body. You craftily figured out the formula for deterioration of the substance and are ready for some answers.
The formula to determine the amount of the substance left in your body:
Y is the amount of the foreign substance in your body. The variable, a, represents your current age in years.
Calculate your age to the nearest thousandth. Using this formula, find the amount of the material remaining in your body today rounded to the nearest thousandth. Share your findings with the class.
Click here to see an example.
Part 2:
Choose a classmate and respond to their post by calculating the amount of material in their body two years from today. Show all work involved in your calculation. Keep in mind that Discussion Boards are meant to be constructive exchanges.
Part 3:
Find and comment on at least one classmate’s post for Part 1 or Part 2. Make sure your comments are substantive and advance the Discussion. If their answer is not correct, tactfully identify the error and show the work correctly. If the classmate is having difficulty, offer advice or share a resource that helped you with the material. Share any appropriate and interesting scenarios that may explain this injection.
Note: Your responses to your classmates must be substantive and advance the Discussion. Substantive means your reply must 1) include comments specific to that particular post and 2) contain information or insight worthy of sharing with the instructor and class. Contact your instructor if you have questions about making substantive responses. MM212 College Algebra Unit 4 Discussion