Warm Up 1.Quiz: Exponents & Exponential Functions 2.In the Practice Workbook, Practice 8-8 (p. 110) #1, 3, 5.

Slides:

Advertisements

Similar presentations

4.2 Exponential Decay Functions

Advertisements

Section 9C Exponential Modeling (pages 585 – 601)

ACTIVITY 40 Modeling with Exponential (Section 5.5, pp ) and Logarithmic Functions.

Chapter 3 Linear and Exponential Changes 3.2 Exponential growth and decay: Constant percentage rates 1 Learning Objectives: Understand exponential functions.

Exponential Growth and Decay

Exponential Growth and Decay

Warm Up Simplify each expression. 1. ( )2 3.

Exponential Growth & Decay By: Kasey Gadow, Sarah Dhein & Emily Seitz.

Aim: How do we solve verbal problems leading to exponential or logarithmic equations? Do Now: Jacob has 18 kg of radium. If the half-life of radium is.

Lesson 8.5 and 8.6 Objectives:

ELF Investigating Exponential Models - Growth and Decay MCB4U - Santowski.

Holt Algebra Exponential Growth and Decay You should know how to solve these: Simplify each expression. 1. ( ) The first term of.

CHAPTER 1: PREREQUISITES FOR CALCULUS SECTION 1.3: EXPONENTIAL FUNCTIONS AP CALCULUS AB.

Section 1.2 Exponential Functions

1.3 Exponential Functions. Exponential Growth Exponential Decay Applications The Number e …and why Exponential functions model many growth patterns. What.

Exponential Growth & Decay, Half-life, Compound Interest

Exponential Growth and Decay 6.4. Exponential Decay Exponential Decay is very similar to Exponential Growth. The only difference in the model is that.

10.7 Exponential Growth and Decay

1 SS Solving Exponential Equations MCR3U - Santowski.

Preview Warm Up California Standards Lesson Presentation.

Warm Up In the textbook… p. 436 #1 – 3 Read directions about x values!

Section 6.4 Solving Logarithmic and Exponential Equations

Warm Ups Term 4 Week 2. 1.Identify the roots of the equation and state the multiplicity of each root: -2x 3 – 12x x = 0 2.What is the inverse.

Homework Questions.

Holt Algebra Exponential Growth and Decay Warm Up Simplify each expression. 1. ( ) The first term of a geometric sequence is 3 and.

Drugs in the Body (1) Recurrence Relations A patient is given an initial dose of 50mg of a drug. Each hour the patient is given a 20mg tablet of the.

Exponential Growth and Decay “Word Problem Format”

Section 4.2 Logarithms and Exponential Models. The half-life of a substance is the amount of time it takes for a decreasing exponential function to decay.

Stare at this image…. Do you see the invisible dots?

EXPONENTIAL GROWTH & DECAY; Application In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Use the exponential.

Exponential Modeling Section 3.2a.

Exponential Growth and Decay TS: Making decisions after reflection and review.

7.4 B – Applying calculus to Exponentials. Big Idea This section does not actually require calculus. You will learn a couple of formulas to model exponential.

If a quantity decreases by the same proportion r in each unit of time, then the quantity displays exponential decay and can be modeled by the equation.

Exponential Growth & Decay

Homework Questions!.

Exponential Growth and Decay Word Problems

Half – Life All radioisotopes have a half life. The half is of any given radioisotope is the amount of time required for one half (50%) of the sample to.

Example 1 Using Zero and Negative Exponents a. 5 0

GrowthDecay. If a quantity increases by the same proportion r in each unit of time, then the quantity displays exponential growth and can be modeled by.

Warm Up: Find the final amount : Invest $4000 at 6% compounded quarterly for 20 years. Invest $5600 at 3.7% compounded continuously for 12 years.

6.1 Exponential Growth and Decay

Exponential Growth and Decay

Warm Up 1)A population of 4000 triples in size every year. Find the population in 4 years. 2)A bacteria culture of 20 increases by a growth factor of 2.

5.7 – Exponential Equations; Changing Bases

7.3B Applications of Solving Exponential Equations

Various Forms of Exponential Functions

8.2 Properties of Exponential Functions 8.3 Logarithmic Functions as Inverses.

8-2: Exponential Decay Day 2 Objective Ca Standard 12: Students know the laws of fractional exponents, understand exponential functions and use these functions.

UNIT 7 NUCLEAR REACTIONS 7.3 Calculating Half Life? May 17, 2011 DO NOW: = /4.5 = If we start with 4.5 grams of Radon-222 and over a period.

Radioactive Decay and Half-Life. The isotope Radium–228 undergoes beta decay as shown in the following equation:

Math 1320 Chapter 9: Nonlinear Functions and Models 9.3 Logarithmic Functions and Models.

Holt McDougal Algebra Exponential Growth and Decay Warm Up Simplify each expression. 1. ( ) The first term of a geometric sequence.

Drill If a quantity increases by the same proportion r in each unit of time, then the quantity displays exponential growth and can be modeled by the.

E XPONENTIAL W ORD P ROBLEMS Unit 3 Day 5. D O -N OW.

Section 8-2 Properties of Exponential Functions. Asymptote Is a line that a graph approaches as x or y increases in absolute value.

5.3 Application of Exponential Functions. Continuously Compounded Interest: A = Pe rt A = account balance r = interest rate (as a decimal) t = time in.

EXPONENTIAL GROWTH AND DECAY By: Shaikha Arif Grade: 10 MRS. Fatma 11-3.

Modeling Exponential Functions

Exponential Growth and Decay

Exponential Growth & Decay, Half-life, Compound Interest

Half-Life Practice Problems 2

Half – Life Problems.

Warm Up Simplify each expression. 1. ( )2 3.

Nuclear Decay Half-Life Practice.

Exponential Growth and Decay

Doubling Time and Half-Life

Warm Up Solve the following: 10 minutes End.

Jeopardy Choose a category. Click to begin..

Presentation transcript:

Warm Up 1.Quiz: Exponents & Exponential Functions 2.In the Practice Workbook, Practice 8-8 (p. 110) #1, 3, 5

Questions ?

Exponential Decay Starting Amount (when x = 0) Decay Factor

b = 1 – rate of decay (as a decimal)

Writing an Equation for Exponential Decay The value of a car is $20,000 and is depreciating at a rate of 12% per year.

Writing an Equation for Exponential Decay The population of a town of 18,000 is decreasing at a rate of 4% per year.

Writing an Equation for Exponential Decay The amount of a 20 mg dose of a antibiotic decreases in your bloodstream at a rate of 16% per hour.

Writing an Equation for Exponential Decay An investment of $8000 losses value at a rate of 2% per year.

Half Life

Half Life Formula Initial Amount Decay Factor Amount Remaining Number of Half Lives

Example: Half Life Fluorine-20 has a half-life of 11 seconds. Find the amount of Fluorine-20 left from a 40 gram sample after 44 seconds.

Example: Half Life Cesium-137 has a half-life of 30 years. Find the amount of Cesium-137 left from a 100 milligram sample after 180 years.

Example: Half Life Bismuth-214 has a half-life of 20 minutes. Find the amount of Bismuth-214 left from a 30 gram sample after 1 hour.

Example: Half Life Mendelevimu-258 has a half-life of 52 days. Find the amount of Mendelevimu-258 left from a 44 gram sample after 156 days.

Assignment In the textbook… pp #22 – 30, 32, 20, 21

Practice! In the Practice Workbook… Reteaching 8-8 (p. 109) # 4 – 6