Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 3b – More Exponential Functions Practice Problems 9. One 7-oz cup of coffee contains about 130 mg of caffeine. The half-life of caffeine in the body is about 6 hours. a) Use this information and your graphing calculator to determine the exponential regression equation that models the amount, A, of caffeine remaining in your body x hours after drinking one cup of coffee. b) According to the equation found in part a, how much caffeine remains in the body one hour after drinking one cup of coffee? Show all of your work and write your answer in a complete sentence. Round your answer to one decimal place as needed. c) According to the equation found in part a, how much caffeine remains in the body eight hours after drinking one cup of coffee? Show all of your work and write your answer in a complete sentence. Round your answer to one decimal place as needed. d) According to the equation found in part a, at what rate does your body metabolize (eliminate) the caffeine each hour? Scottsdale Community College Page 138 Intermediate Algebra
Lesson 3b – More Exponential Functions Practice Problems 10. For each of the following, Determine if it is Exponential Growth or Exponential Decay. Write the equation the appropriately models the scenario. If it is growth, determine the doubling time. If it is decay, determine the half life. These are word problems, so make sure your final answer is in a complete sentence. a) BoringBob buys a piece of gold that has a value of $1000. His investment grows at a rate of 5% per year. How long until his investment doubles? b) Twidles has 50 rabbits. He usually keeps the separated, but one day he leaves them all free in the back yard (with lots of food and water) and heads off for a 7 day vacation. The rabbits do what rabbits do and the population starts growing at a rate of 10% a day. Will Twidles have 100 rabbits when he gets back? c) Jeffta went to a doctor and found out that he had 80 pounds of body fat and needed to lose 40 of that. He goes on a healthy diet and finds that he is losing 2% of his body fat a week. How long will it take Jeffta to lose the 40 pounds? d) In 1975, the cost of a Bean Burro from Taco Bell costs 25 cents. Inflation has averaged about 3% a year since then. In what year did it reach 50 cents. In what year should it cost $1.00? Let t = the number of years since 1975 (i.e. t = 0 for 1975, t = 1 for 1976 and so on). Scottsdale Community College Page 139 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 2b - Functions and Function
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Lesson 5b - Solving Quadratic Equat
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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