Algebra 1 Notes - Poudre School District

Transcription

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017Algebra 1 NotesP28 6 4 Exponential Growth and Decay6 5 Solving Exponential EquationsSep 26 3:47 PMREVIEW Properties of Rational Exponentsam x an am n(am)n amn(ab)m ambma m 1/amam/an am n(a/b)m am/bmNov 8 9:48 AM1

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017Core ConceptCore Concept2

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017Determine whether each table represents an exponential growthfunction, an exponential decay function, or neither.Example 2Determine whether each function represents exponential growthor exponential decay.Identify the percent rate of change.a. y 5(1.07)tb. f (t) 0.2(0.98)tExample 33

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017Evaluating Exponential EquationsWrite each side using the same base 2?Use Power Property of ExponentsSet the Exponents equalSolve for xNov 20 7:24 AMSolve each equation.a. 3x 1 35b. 6 62x 3c. 103x 102x 3Example 14

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017Solve.(a) 5x 125(b) 4x 2x 3(c) 9x 2 27x.Example 2Use a graphing calculator to solve the equation.(a) 7 and(b) 3x 2 x 1.(c) 2x 1.8(d) 9. 4x 3 x 2(e)Oct 2 10:52 AM5

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017HW #346 4 P319 #5 106 5 P329 #3 8,21 24Please put your name and class periodat the top of the homework.Also include the homework number.Sep 26 3:47 PMSolve the equation. Check your solution.d. 22x 26e. 52x 5x 1f. 73x 5 7x 1Monitoring Progress 1 36

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017Core ConceptUse the simple interest formula, I Prt, whereI interest, P principle, r interest rate, andt time in years, to find the interest.1. 35002. 250,0003. 60004. 15,000Warm Up 1 37

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017The inaugural attendance of an annual music festival is 150,000. Theattendance y increases by 8% each year.a. Write an exponential growth function that represents the attendanceafter t years.b. How many people will attend the festival in the fifth year? Roundyour answer to the nearest thousand.Example 1Families of Exponential FunctionsParent Function:Stretch ( a 1 )Shrink ( 0 a 1 )Reflection ( a 0 )Translation:Combined:y bxy abxy bx h k(horizontal by h)(vertical by k)y abx h kNov 20 7:19 AM8

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017Core ConceptYou deposit 100 in a savings account that earns 6% annual interestcompounded monthly. Write a function that represents the balanceafter t years.Example 59

A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebookMarch 21, 2017You deposit 500 in a savings account that earns 9% annual interestcompounded monthly. Write a function that represents the balance y(in dollars) after t years.Monitoring Progress 810

1 March 21, 2017 Sep 26 3:47 PM Algebra 1 Notes P28 6 4 Exponential Growth and Decay 6 5 Solving Exponential Equations . a. 3x 1 35 b. 6 62x 3 c. 103x 102x 3. A1S6 4ExpGrowthDecayAND6 5SolvingExpEqs.notebook . Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board .