Intermediate Algebra – Student Workbook – Second Edition 2013

More documents

Recommendations

Info

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

Lesson 3b – More Exponential Functions Mini-Lesson Problem 2 WORKED EXAMPLE-WRITING EXPONENTIAL GROWTH MODELS/DOUBLING TIME A city has a current population of 5500 people with a growth rate of 12% per year. Write the exponential model for this population and determine the time (to the nearest year) for the population to double. First, determine the EXPONENTIAL MODEL using the information given in the problem. Given: Initial population = 5500 Given: Growth rate of 12% per year Formula to use: P(t) = ab t a = 5500 (initial population) To find b, convert 12% to a decimal (.12), Then, since the population grows, b = 1 + .12 = 1.12 (This value is also called the GROWTH FACTOR). Write the model: P(t) = 5500(1.12) t Second, determine the time for the population to double (DOUBLING TIME) Given: P(t) = 5500(1.12) t , initial population = 5500 Goal: Determine the time for the population to double. Another way to say this is, “find the value of t when the population is twice the initial population” (i.e. find t when P(t) = 2(5500) = 11000). Mathematically, we want to solve the equation: 5500(1.12) t =11000 Use calculator entering Y1 = 5500(1.12) t and Y2 = 11000. Use window X[0..10], Y[0..12000] then 2 nd >Calc>5:Intersect to get t = 6.12. (See graph below). Round to get t = 6. Result: The population will double in about 6 years. Steps to Write an Exponential Growth Model Given the Rate of Growth Determine initial value of the model (i.e. initial population, initial investment, initial salary, etc.). This is the value of the model at time t = 0 and the number will be your number for “a”. Write the given rate as a decimal and ADD it to 1. This is your value for “b” (GROWTH FACTOR). Write the model using appropriate function notation (i.e. P(t) = ab t , V(t) = ab t , S(t) = ab t , etc.) Steps to Determine Doubling Time Start with an exponential growth model, i.e. P(t) = ab t Set up the equation ab t = 2a Solve by graphing and INTERSECTION method Scottsdale Community College Page 124 Intermediate Algebra
Lesson 3b – More Exponential Functions Mini-Lesson Problem 3 YOU TRY- WRITING EXPONENTIAL GROWTH MODELS/DOUBLING TIME After graduating from college in 2010, Sara accepts a job that pays $52,000 per year. At the end of each year, she expects to receive a 3% raise. a) Let t represent the number of years Sara works at her new job. Write the exponential growth function, S(t), that models her annual salary given the information above. Initial Salary (a value): __________ Given growth rate as a decimal: ___________ Growth factor (b value): _______________ Write the model: S(t) = InitialValue(GrowthFactor) t = ____________________ b) If Sara’s salary continues to increase at the rate of 3% each year, determine how much will she will make in 2015. Show your work clearly here. c) How many years will she have to work before her salary will be double what it was in 2010 (assuming the same growth rate)? Be sure to set up and clearly identify the DOUBLING equation. Then, draw a sketch of the graph you obtain when using the INTERSECTION method to solve. Round to the nearest WHOLE year. DOUBLING EQUATION: ____________________________________ DOUBLING TIME (Rounded to nearest whole year): _________________________ Scottsdale Community College Page 125 Intermediate Algebra
Page 1 and 2:
Scottsdale Community College Interm
Page 3 and 4:
Table of Contents Lesson 1a - Intro
Page 5 and 6:
Lesson 1a - Introduction to Functio
Page 7 and 8:
Name: _____________________ Date: _
Page 9 and 10:
Page 11 and 12:
Page 13 and 14:
Page 15 and 16:
Page 17 and 18:
Page 19 and 20:
Page 21 and 22:
Name: _____________________ Date: _
Page 23 and 24:
Page 25 and 26:
Page 27 and 28:
Page 29 and 30:
Name: _____________________ Date: _
Page 31 and 32:
Lesson 1b - Linear Equations In the
Page 33 and 34:
Name: _____________________ Date: _
Page 35 and 36:
Lesson 1b - Linear Equations Mini-L
Page 37 and 38:
Page 39 and 40:
Page 41 and 42:
Page 43 and 44:
Page 45 and 46:
Name: _____________________ Date: _
Page 47 and 48:
Lesson 1b - Linear Equations Practi
Page 49 and 50:
Page 51 and 52:
Page 53 and 54:
Name: _____________________ Date: _
Page 55 and 56:
Lesson 2a - Linear Functions and Ap
Page 57 and 58:
Name: _____________________ Date: _
Page 59 and 60:
Page 61 and 62:
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Name: _____________________ Date: _
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Name: _____________________ Date: _
Page 77 and 78: Lesson 2b - Functions and Function
Page 79 and 80: Name: _____________________ Date: _
Page 99 and 100: Lesson 3a - Introduction to Exponen
Page 125 and 126: Lesson 3b - More Exponential Functi
Page 127: Name: _____________________ Date: _
Page 147 and 148: Lesson 4a - Introduction to Logarit
Page 165 and 166: Lesson 4b - More on Logarithms This
Page 169 and 170: Lesson 4b - More on Logarithms Mini
Page 179 and 180:
Lesson 4b - More on Logarithms Prac
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Name: _____________________ Date: _
Page 187 and 188:
Lesson 5a - Introduction to Quadrat
Page 189 and 190:
Name: _____________________ Date: _
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Page 197 and 198:
Page 199 and 200:
Page 201 and 202:
Name: _____________________ Date: _
Page 203 and 204:
Page 205 and 206:
Page 207 and 208:
Page 209 and 210:
Name: _____________________ Date: _
Page 211 and 212:
Lesson 5b - Solving Quadratic Equat
Page 213 and 214:
Name: _____________________ Date: _
Page 215 and 216:
Page 217 and 218:
Page 219 and 220:
Page 221 and 222:
Page 223 and 224:
Page 225 and 226:
Page 227 and 228:
Page 229 and 230:
Page 231 and 232:
Name: _____________________ Date: _
Page 233 and 234:
Page 235 and 236:
Page 237 and 238:
Page 239 and 240:
Page 241 and 242:
Name: _____________________ Date: _
Page 243 and 244:
Lesson 6a - Exponents and Rational
Page 245 and 246:
Name: _____________________ Date: _
Page 247 and 248:
Page 249 and 250:
Page 251 and 252:
Page 253 and 254:
Page 255 and 256:
Page 257 and 258:
Name: _____________________ Date: _
Page 259 and 260:
Page 261 and 262:
Page 263 and 264:
Page 265 and 266:
Name: _____________________ Date: _
Page 267 and 268:
Lesson 6b - Rational Exponents & Ra
Page 269 and 270:
Name: _____________________ Date: _
Page 271 and 272:
Lesson 6b - Rational Exponents and
Page 273 and 274:
Page 275 and 276:
Page 277 and 278:
Page 279 and 280:
Name: _____________________ Date: _
Page 281 and 282:
Page 283 and 284:
Page 285 and 286:
Name: _____________________ Date: _
Page 287 and 288:
Appendix A: You Try Answers Lesson
Page 289 and 290:
Appendix A: You Try Answers You Try
Page 291 and 292:
Page 293 and 294:
show all

Intermediate Algebra – Student Workbook – Second Edition 2013

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?