Chapter 4 Section 4.6 Applications and Models of Exponential Growth and Decay.

Slides:

Advertisements

Similar presentations

4.2 Exponential Decay Functions

Advertisements

CHAPTER Continuity Exponential Growth and Decay Law of Natural Growth(k>0) & (Law of natural decay (k

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.

1.5 Exponential Functions Monday, August 30, 2004.

OBJECTIVES: FIND EQUATIONS OF POPULATION THAT OBEY THE LAW OF UNINHIBITED GROWTH AND DECAY USE LOGISTIC MODELS Exponential Growth and Decay; Logistic Models.

Growth and Decay. The Half-Life Time of a Radioactive Elements.

Exponential Growth and Decay Models; Logistic Growth and Decay Models

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

Exponential Growth & Decay Modeling Data Objectives –Model exponential growth & decay –Model data with exponential & logarithmic functions. 1.

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

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Exponential Growth and Decay: Modeling Data.

Sullivan PreCalculus Section 4

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

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 4 Inverse, Exponential, and Logarithmic Functions Copyright © 2013, 2009, 2005 Pearson Education,

Exponential Growth and Decay; Modeling Data

Exponential Functions. Exponential Function f(x) = a x for any positive number a other than one.

Homework Lesson Handout #5-27 (ODD) Exam ( ): 12/4.

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

4.8 Exponential and Logarithmic Models

Chapter 2: Functions and Exponential Models Lesson 5: Exponential Models Mrs. Parziale.

1 SS Solving Exponential Equations MCR3U - Santowski.

Section 6.4 Solving Logarithmic and Exponential Equations

Exponential Functions Chapter 1.3. The Exponential Function 2.

Exponential Functions Section 1.3. Exponential Functions f(x) = a x Example: y 1 = 2 x y 2 = 3 x y 3 = 5 x For what values of x is 2 x

Applications and Models: Growth and Decay

Applications of Logs and Exponentials Section 3-4.

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.

UNIT 5: EXPONENTIAL GROWTH AND DECAY CONTINUOUS Exponential Growth and Decay Percent of change is continuously occurring during the period of time (yearly,

Exponential Functions Section 5.1. Evaluate the exponential functions Find F(-1) Find H(-2) Find Find F(0) – H(1)

Half- Life. Some minerals contain radioactive elements. Some minerals contain radioactive elements. The rate at which these elements decay (turn into.

Chapter 8 Section 2 Review Page 196

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.

Section 4.5 Modeling with Exponential & Logarithmic Functions.

Using Exponential and Logarithmic Functions

Section 8.2 Separation of Variables.  Calculus,10/E by Howard Anton, Irl Bivens, and Stephen Davis Copyright © 2009 by John Wiley & Sons, Inc. All rights.

Test Friday!!!!!!! 10-6 Exponential Growth and Decay.

Exponential Modeling Section 3.2a.

MTH 112 Section 3.5 Exponential Growth & Decay Modeling Data.

Exponential Growth and Decay. Objectives Solve applications problems involving exponential growth and decay.

CONTINUOUS Exponential Growth and Decay

AP CALCULUS AB Chapter 6:

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

Objectives:  Understand the exponential growth/decay function family.  Graph exponential growth/decay functions.  Use exponential functions to model.

12/18/2015 Perkins Honors Precalculus Day 7 Section 4.7.

Growth and Decay Exponential Models.

Compound Interest Amount invested = £1000 Interest Rate = 5% Interest at end of Year 1= 5% of £1000 = 0.05 x  £1000 = £50 Amount at end of Year 1= £1050.

Chapter 7.2 – Half life Science 10. Types of decay Alpha Alpha.

Exponential Growth. Definition: Growing without bound. Ie. Nothing limits the growth.

Rates of Nuclear Decay Chapter 10 Section 2 Pg

Example 1 Using Zero and Negative Exponents a. 5 0

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Exponential Growth and Decay: Modeling Data.

Exponential Growth and Decay; Newton’s Law; Logistic Models

Exponential Growth & Decay Functions Recall from unit 1 that the graph of f(x) = a x (a>1) looks like y = a x As x   then y   but as x  -  then y.

Lesson 3.5, page 422 Exponential Growth & Decay Objective: To apply models of exponential growth and decay.

7.3B Applications of Solving Exponential Equations

Various Forms of Exponential Functions

1.3 Exponential Functions. Slide 1- 2 Exponential Function.

Chapter 5 Applications of Exponential and Natural Logarithm Functions.

Exponential Functions Chapter 10, Sections 1 and 6.

1 Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 3.1 Exponential Functions Demana, Waits, Foley, Kennedy.

Unit 5: Exponential Word Problems – Part 2

Exponential and Logarithmic Functions 4 Copyright © Cengage Learning. All rights reserved.

Using Exponential and Logarithmic Functions. Scientists and researchers frequently use alternate forms of the growth and decay formulas that we used earlier.

Applications. The half-life of a radioactive substance is the time it takes for half of the atoms of the substance to become disintegrated. All life on.

Honors Precalculus: Do Now Solve for x. 4 2x – 1 = 3 x – 3 You deposit $7550 in an account that pays 7.25% interest compounded continuously. How long will.

3.2 Exponential and Logistic Modeling

Exponential Functions

Exponential Functions

Presentation transcript:

Chapter 4 Section 4.6 Applications and Models of Exponential Growth and Decay

Example In 2003 a population of 40 rock pythons escape into a swamp. In 2008 a biologists estimates the population to be 140. a)Find if y is the population t years after 2003 express y as a function of t. b)What is the population in 2015? c)In what year will the population reach 2,000?

About 28 days

Radioactive Decay Certain substances decay (slowly go away) over time. The amount time it takes for half of the substance to decay is called the half-life of the substance.