Intermediate Algebra – Student Workbook – Second Edition 2013

More documents

Recommendations

Info

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

Lesson 2a – Linear Functions and Applications Mini-Lesson Given Input, Find Output and Given Output, Find Input Questions When working with LINEAR FUNCTIONS, there are two main questions we will ask and solve as follows: Given a particular INPUT value, what is the corresponding OUTPUT value? To address this question, you will EVALUTE the function at the given input by replacing the input variable with the input value and computing the result. Given a particular OUTPUT value, what is the corresponding INPUT value? To address this question, you will set the equation equal to the output value and solve for the value of the input. Problem 4 YOU TRY – APPLICATIONS OF LINEAR FUNCTIONS The data below represent your annual salary for the first four years of your current job. The data are exactly linear. Time, t, in years 0 1 2 3 4 Salary, S, in $ 20,100 20,600 21,100 21,600 22,100 a) Identify the vertical intercept and average rate of change for the data, then use these to write the linear function model for the data. Use the indicated variables and proper function notation. b) Use your model to determine the amount of your salary in year 8. [Note: This is a “Given Input, Find Output” question.] Write your final result as a complete sentence. c) Use your model to determine how many years you would need to work to earn a yearly salary of at least $40,000. Round to the nearest whole year. [Note: This is a “Given Output, Find Input” question.]. Write your final result as a complete sentence. Scottsdale Community College Page 58 Intermediate Algebra
Lesson 2a – Linear Functions and Applications Mini-Lesson Problem 5 YOU TRY – AVERAGE RATE OF CHANGE Data below represent body weight at the start of a 5-week diet program and each week thereafter. Time, t, in weeks 0 1 2 3 4 5 Weight, W, in lbs 196 183 180 177 174 171 a) Compute the average rate of change for the first three weeks. Be sure to include units. b) Compute the average rate of change for the 5-wk period. Be sure to include units. c) What is the meaning of the average rate of change in this situation? d) Do the data points in the table define a perfectly linear function? Why or why not? Problem 6 WORKED EXAMPLE – Scatterplots and Linear Regression Models The data above are not EXACTLY linear as your results for parts a) and b) should have showed (i.e. average rate of is not constant). BUT, just because data are not EXACTLY linear does not mean we cannot write an approximate linear model for the given data set. In fact, most data in the real world are NOT exactly linear and all we can do is write models that are close to the given values. The process for writing Linear Models for data that are not perfectly linear is called LINEAR REGRESSION. If you take a statistics class, you will learn a lot more about this process. In this class, you will be introduced to the basics. This process is also called “FINDING THE LINE OF BEST FIT”. Begin by CREATING A SCATTER PLOT to view the data points on a graph Step 1: Enter the data into your calculator Press STAT (Second Row of Keys) Press ENTER to access 1:Edit under EDIT menu Note: Be sure all data columns are cleared. To do so, use your arrows to scroll up to L1 or L2 then click CLEAR then scroll down. (DO NOT CLICK DELETE!) Scottsdale Community College Page 59 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:
Lesson 1a - Introduction to Functio
Page 11 and 12: Lesson 1a - Introduction to Functio
Page 21 and 22: Name: _____________________ Date: _
Page 31 and 32: Lesson 1b - Linear Equations In the
Page 35 and 36: Lesson 1b - Linear Equations Mini-L
Page 47 and 48: Lesson 1b - Linear Equations Practi
Page 55 and 56: Lesson 2a - Linear Functions and Ap
Page 61: Lesson 2a - Linear Functions and Ap
Page 77 and 78: Lesson 2b - Functions and Function
Page 99 and 100: Lesson 3a - Introduction to Exponen
Page 113 and 114:
Lesson 3a - Introduction to Exponen
Page 115 and 116:
Page 117 and 118:
Name: _____________________ Date: _
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
Name: _____________________ Date: _
Page 125 and 126:
Lesson 3b - More Exponential Functi
Page 127 and 128:
Name: _____________________ Date: _
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Name: _____________________ Date: _
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
Name: _____________________ Date: _
Page 147 and 148:
Lesson 4a - Introduction to Logarit
Page 149 and 150:
Name: _____________________ Date: _
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Name: _____________________ Date: _
Page 161 and 162:
Page 163 and 164:
Name: _____________________ Date: _
Page 165 and 166:
Lesson 4b - More on Logarithms This
Page 167 and 168:
Name: _____________________ Date: _
Page 169 and 170:
Lesson 4b - More on Logarithms Mini
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Name: _____________________ Date: _
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?