Our Services

Get 15% Discount on your First Order

[rank_math_breadcrumb]

MA100 Quantitative Reasoning

Exponential Growth—U.S. Population and World Population

Mathematical Modeling Exercise 1

Callie and Joe are examining the population data in the graphs below for a history report. Their comments are as follows:

Callie: It looks like the U.S. population grew the same amount as the world population, but that can’t be right, can it? Joe: Well, I don’t think they grew by the same
amount, but they sure grew at about the same rate. Look at the slopes.

Population (in millions)

Population (in millions)

U.S. Population

300

250

200

150

100

50

0

1950 1960 1970 1980 1990 2000

Year

World Population

7000

6000

5000

4000

3000

2000

1000

0

1950 1960 1970 1980 1990 2000

Year

1a. Is Callie’s observation correct? Why or why not?

1b. Is Joe’s observation correct? Why or why not?

2a. Show your work.

Use the World Population graph to estimate the percent increase in world population from 1950 to 2000.

Now, use the U.S. Population graph to estimate the percent increase in the U.S. population for the same time period.

3a. How does the percent increase for the world population compare to that for the U.S. population over the same time period, 1950 to 2000?

3b. Do the graphs above seem to indicate linear or exponential population growth? Explain your response.

4. Write an explicit formula for the function that models the world population growth from 1950

to 2000 based on the information in the graph. Assume that the population (in millions) in 1950

was 2,500 and in 2000 was 6,000. Use 𝑡 to represent the number of years after 1950.

Mathematical Modeling Exercise 2

World Population

7000

6000

5000

4000

3000

2000

1000

0

1700 1750

1800 1850

Year

1900 1950 2000

Population (in millions)

5. How is this graph similar to the World Population graph in Mathematical Modeling Exercise 1? How is it different?

6a. Does the behavior of the graph from 1950 to 2000 match that shown on the graph in Mathematical Modeling Exercise 1? Explain your answer.

6b. Why is the graph from Mathematical Modeling Exercise 1 somewhat misleading?

Share This Post

Email
WhatsApp
Facebook
Twitter
LinkedIn
Pinterest
Reddit

Order a Similar Paper and get 15% Discount on your First Order

Related Questions

DRP

This is what you wrote for me below- The neurological disorders Traumatic Brain Injury (TBI) and Post-Concussive Syndrome (PCS) arise from similar incidents, though they progress and express symptoms diCerently and produce unique long-term consequences. TBI signifies any brain injury that occurs from external trauma, yet PCS specifically describes symptoms

Healthcare Decision 4

Create an 5-7 slide PowerPoint presentation with detailed speaker notes about the statistical results with a recommendation and plan of action for health system leadership. In your speaker notes, include the details for a recommendation to determine what decision and plan of action to make for the scenario that is

dis

  iscuss one of these topics as a developmental issue occurring during the newborn, preschool, school-age, or adolescent period. Include your recommendations and patient teachings. Autism Spectrum Disorder Cerebral Palsy Depression Developmental Disabilities Fetal Alcohol Spectrum Disorders Fragile X Syndrome Hemophilia Language and Speech Disorders Learning Disorders Muscular Dystrophy Oppositional

book7

You will post your initial response, and then in Module Eight, you will assess other learners’ posts and provide them with your input. This allows you additional time to make your initial post strong, robust, and well-supported. In Module Seven, consider the following statement:  “The best-performing companies worry less about

hhk1

READ BELOW- Presentation: Demographics, onset of symptoms, history of present illness, associated risk factors  Dementia and delirium are both conditions that present a challenge to a person’s functional capacity, however, they contrast in their pathophysiology, presentation, duration, and treatment methods. It is important to note that both conditions have the

M22

   M2 M2 covers chapters 8 through 13 of the textbooks. TEXTBOOK(S) AND REQUIRED MATERIALS: Title: The Marriage and Family Experience: Intimate Relationships In A Changing Society  Author: Theodore F. Cohen and Bryan Strong  Publisher: Cengage Learning  Year Published: 2021 Edition: 14th ISBN: 13: 9780357378229 Please answer the following questions.

HIT 2200 MOD 3 DB

  The first Administrative Safeguard in the Security Rule Standards is the Security Management Process standard.  The Security Management Process standard has four required implementation specifications.  Two of these are Risk Analysis and Risk Management.   Risk Analysis and Risk Management are the foundation upon which an entity’s necessary security activities are built.  Security Risk

HIT 2200 MOD 3 ASSN

INFO ATTACHED HIT 2200 MOD 3 ASSN Prior to beginning this assignment, review the following resources:  · Read  Record Destruction: When, Which Ones, and HowLinks to an external site. · Read  Retention and Destruction of Health Information (AHIMA, 2013)Links to an external site. · Browse the  2023 Indiana Revised Code

1252 MOD 3 ASSN ANNOTAT

INFO ATTACHED, GOES WITH OTHER ASSIGNMENT Overview: For this assignment, you will create an annotated bibliography based on the instructions below that will serve as a foundation for your outline (also due at the end of this week). Please save your file in .doc or .docx format. Your annotated bibliography

1252 MOD 3 ASSN OUTLINE

INFO ATTACHED Overview: Prepare an outline for your research argument essay based on the instructions below. Please save your file in .doc or .docx format. Your response should be complete and your final document should comply with MLA writing requirements. *Students are encouraged to visit the following website before completing

chap7

Chapter 7( find in the attachement) Data collection is a fundamental aspect of quantitative research, and this chapter provides valuable insights into different approaches for gathering data. Discuss the pros and cons of various data collection methods, such as in-person collection, computer-assisted telephone interviewing (CATI), and virtual data collection via online

380

Rewrite and enhance the topic, and add any relevant details. 1 Government vs. Private Sector Support for STEM R&D: Germany vs. South Korea Your Name Institution Course Name Instructor’s Name Date 2 Government vs. Private Sector Support for STEM R&D: Germany vs. South Korea Introduction In the 21st century, scientific

MOD2SLP

Recruitment of Females and Military Veterans Before you begin this assignment, be sure to review the Module 2 Background readings. You work as VP of Human Resources for a  private-sector employer in an industry that has historically attracted only civilian males (for example, earth-moving equipment, steel making, etc.). Because of your

MOD2CASE

EEO Compliance for Federal Contractors/Subcontractors Before starting this assignment, be sure to familiarize yourself with the OFCCP and the following laws and their amendments: Hiring America. (2016, November 18)   Why should you hire veterans? [Video file] .  This video sets the tone for the SLP assignment. Legal Information Institute

book6pt2

Overview When performing an evaluation to determine the performance or health of a company, it is important to identify and evaluate any current or potential risks the company might face. In this assignment, you will perform a risk assessment for TransGlobal Airlines to better understand its business environment. Prompt Perform

Data Analysis 4

Create an 5-7 slide PowerPoint presentation with detailed speaker notes about the statistical results with a recommendation and plan of action for health system leadership. In your speaker notes, include the details for a recommendation to determine what decision and plan of action to make for the scenario that is

JT7

Read the following scenario. You are preparing to initiate a telehealth videoconferencing session with Jarrett, a 16-year- old client who was seen in the emergency department after making suicidal threats at home. He was evaluated by behavioral medicine, diagnosed with major depressive disorder, and released for follow-up care with his