College Algebra & Trigonometry, 2018a

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3.1. EXPONENTIAL AND LOGISTIC APPLICATIONS 157 9) Fish population The function: P (t) = 12 1+e −t gives the size of a fish population in thousands at time t, measured in years. a) Find the initial population of fish at time t =0. Find the population of fish after 2 years, time t =2. b) How long will it take for the population to be 10,000? What appears to be the maximum population for this particular model? 10) Fish population The function: P (t) = 70 1+2e −t gives the size of a fish population in thousands at time t, measured in years. a) Find the initial population of fish at time t =0. Find the population of fish after 1.5 years, t =1.5. b) How long will it take for the population to be 50,000? What appears to be the maximum population for this particular model?
158 CHAPTER 3. EXPONENTS AND LOGARITHMS 11) Fish population The function: P (t) = 20 1 − 0.4e −0.35t gives the size of a fish population in thousands at time t, measured in years. a) Find the initial population of fish at time t =0. Find the population of fish after 5 years, time t =5. b) How long will it take for the population to be 25,000? What happens to this population over time? 12) Fish population The function: P (t) = 10 1 − 0.73e −0.08t gives the size of a fish population in thousands at time t, measured in years. a) Find the initial population of fish at time t =0. Find the population of fish after 5 years, time t =5. b) How long will it take for the population to be 25,000? What happens to this population over time?
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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8 CONTENTS
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10 CHAPTER 1. ALGEBRA REVIEW Exampl
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12 CHAPTER 1. ALGEBRA REVIEW 2(x +3
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40 CHAPTER 1. ALGEBRA REVIEW devise
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80 CHAPTER 1. ALGEBRA REVIEW Addend
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88 CHAPTER 2. POLYNOMIAL AND RATION
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100 CHAPTER 2. POLYNOMIAL AND RATIO
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210 CHAPTER 4. FUNCTIONS Multiplyin
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212 CHAPTER 4. FUNCTIONS Exercises
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214 CHAPTER 4. FUNCTIONS 3) Match e
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216 CHAPTER 4. FUNCTIONS 6) f(x) 7)
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218 CHAPTER 4. FUNCTIONS Being fami
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222 CHAPTER 4. FUNCTIONS 4.6 Piecew
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226 CHAPTER 4. FUNCTIONS 4.7 Compos
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228 CHAPTER 4. FUNCTIONS 17) h(x) =
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230 CHAPTER 4. FUNCTIONS Original f
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232 CHAPTER 4. FUNCTIONS Then we sw
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234 CHAPTER 4. FUNCTIONS 19) f(x) =
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238 CHAPTER 4. FUNCTIONS 2) The gra
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242 CHAPTER 4. FUNCTIONS 8) A recta
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244 CHAPTER 4. FUNCTIONS So, our fi
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248 CHAPTER 4. FUNCTIONS Distance O
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250 CHAPTER 4. FUNCTIONS The graph
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252 CHAPTER 4. FUNCTIONS Distance/T
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254 CHAPTER 4. FUNCTIONS The graph
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256 CHAPTER 4. FUNCTIONS 3) A power
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258 CHAPTER 5. CONIC SECTIONS - CIR
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288 CHAPTER 6. SEQUENCES AND SERIES
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308 CHAPTER 7. COMBINATORICS Exampl
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438 CHAPTER 10. TRIGONOMETRIC IDENT
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472 CHAPTER 11. THE LAW OF SINES TH
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College Algebra & Trigonometry, 2018a

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