Applications. Assignment Radioactive Dating – Uranium-235 is one of the radioactive elements used in estimating the age of rocks. The half life of U-235.

Slides:

Advertisements

Similar presentations

ABSOLUTE AGE Absolute dating- used to determine the age of a rock or fossil more exactly based on the properties of atoms An atom:

Advertisements

Absolute-Age Dating Chapter 21.3.

Sci. 3-3 Absolute Dating: A measure of Time Pages

Section 8-3 Radioactive Dating. Intro To Matter Elements – the simplest form of matter (i.e. Hydrogen (H) or Oxygen (O) – Atoms – the smallest particle.

College Algebra & Trigonometry

Exponential Growth or Decay Function

Section 9C Exponential Modeling (pages 585 – 601)

P449. p450 Figure 15-1 p451 Figure 15-2 p453 Figure 15-2a p453.

Determination of the Age of the Earth (Second Method)

Radioactivity (Exponential Example). Atoms Atoms are made of protons, electrons and neutrons. Protons and neutrons reside in the middle, or nucleus, and.

Trends in The Population of the United States by Ted Goertzel.

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

By: Gillian Constantino, What is world population?  The world population is the total number of human beings living on earth.  The U.S. Census.

Absolute Dating : A Measure of Time

SECTION Growth and Decay. Growth and Decay Model 1) Find the equation for y given.

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

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

The New Demographics of Higher Education Will Doyle National Press Foundation Business of Higher Education Seminar 10/30/06.

Absolute Dating Chapter 7 Lesson 2.

Rates of Growth & Decay. Example (1) - a The size of a colony of bacteria was 100 million at 12 am and 200 million at 3am. Assuming that the relative.

Rates of Growth & Decay. Example (1) The size of a colony of bacteria was 100 million at 12 am and 200 million at 3am. Assuming that the relative rate.

Applications and Models: Growth and Decay

Determining Absolute Time.  Absolute Time: numerical time using a specific units like years  Isotopes: Form of an element with more or fewer neutrons.

Copyright © 2014 All rights reserved, Government of Newfoundland and Labrador Earth Systems 3209 Unit: 2 Historical Geology Reference: Chapters 6, 8; Appendix.

CARBON DATING Determining the actual age of fossils.

History of Life: Origins of Life Chapter Age of Earth The earth is about 4.5 billion years old How did we measure that? Radiometric Dating = calculating.

Using calculus, it can be shown that when the rate of growth or decay of some quantity at a given instant is proportional to the amount present at that.

Exponential and Logistic Functions. Quick Review.

Absolute Dating. Radioactive ParentStable Daughter Product Half Life Values U-238Pb Billion Years U-235Pb Million Years Th 232Pb

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

Rates of Growth & Decay. Example (1) - a The size of a colony of bacteria was 100 million at 12 am and 200 million at 3am. Assuming that the relative.

Tips on Dating. Why Date? Different methods of dating will help determine the actual age of a layer of rock or a fossil Scientists look at how much radioactive.

ABSOLUTE AGE Absolute Dating Radiometric Dating Half Life Isotope Radioactive decay Carbon 14.

A Fossil.  Any method of measuring the age of an event or object in years.

Differential Equations

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.

MTH 112 Section 3.5 Exponential Growth & Decay Modeling Data.

Carbon Dating The age of a formerly living thing can be determined by carbon dating As soon as a living organism dies, it stops taking in new carbon.

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

Table of Contents Titles: Age and Time Page #: 13 Date: 9/12/12.

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

K = K = K = 100.

Radiometric Dating Chapter 18 Geology. Absolute Dating Gives a numerical age Works best with igneous rocks difficult with sedimentary rocks Uses isotopes.

Background Knowledge Write the equation of the line with a slope of ½ that goes through the point (8, 17)

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

Bell Assignment Solve for x: log (x+4) + log (x+1) = 1 Solve for x: 7 x = 3.

4.9 Exponential and Log/Ln Word Problems Example: Given that population is growing exponentially with the function (this is based on historical data from.

Rock Dating Methods Radiometric Dating: using known decay rates (half-lives) of radioactive elements to determine the ages of rocks. Relative Dating: putting.

6.4 Applications of Differential Equations. I. Exponential Growth and Decay A.) Law of Exponential Change - Any situation where a quantity (y) whose rate.

ABSOLUTE-AGE DATING: A MEASURE OF GEOLOGIC TIME. THINK ABOUT IT… How old is the Earth? Can it be determined? What are some tools or methods that scientists.

Absolute Dating.

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.

Ch.3, Sec.3 – Absolute Dating: A Measure of Time

Unit 2 - Day 1 Exponential Functions

1.3 Exponential Functions Day 2

Rate of growth or decay (rate of change)

You discover tetrapod fossils in layers 3, 4, 5, and 6

AC Vocabulary Chapter 6 Section 3

Radioactive Dating Calculating the age of a sample based

Chapter 13 Section 3 Absolute Ages of Rocks.

5.6 Applications and Models: Growth and Decay; and Compound Interest

6.4 Applications of Differential Equations

How do we know The structure and Age of the Earth

Learning Objectives: What is half-life

How we know the structure and age of Earth

Absolute Dating.

Unit 2 Exponential Functions

How do we know The structure and Age of the Earth

Presentation transcript:

Applications

Assignment Radioactive Dating – Uranium-235 is one of the radioactive elements used in estimating the age of rocks. The half life of U-235 is million years. A rock found in the Australian Outback is estimated to have 20% of the U-235 it had when it was formed. What is the age of the rock?

Assignment - Solution Radioactive Dating – Uranium-235 is one of the radioactive elements used in estimating the age of rocks. The half life of U-235 is million years. A rock found in the Australian Outback is estimated to have 20% of the U-235 it had when it was formed. What is the age of the rock? The age of the rock is then estimated to be 1.6 Billion years old.

Exponential Growth According to the Census Bureau, the Hispanic population of Chicago in 2000 was 753,649. By 2010, that figure was 778,862. Assuming that the Hispanic population in Chicago may be modeled by an exponential growth model estimate the Hispanic population in 2015.

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y)

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) ,649

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) , ,862

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) , , ???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15??? Again, storing the compute value of k may help moving forward.

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15???

Exponential Growth As with previous modeling, a table of values will help us develop a model. Time (t) Population (y) 0753, ,862 15??? The Hispanic population of Chicago in the year 2015 is estimated to be 791,784.

Assignment According to the Census Bureau, the population of Chicago in 2000 was 2,895,995. By 2010, that figure was 2,695,598. Assuming that the population of Chicago may be modeled by an exponential growth model estimate the population in Additionally, compute the proportion of Hispanics in Chicago for the years 2000, 2010 and 2015 and determine an appropriate conclusion that may be drawn from the data.