Question

Math 112 Written Homework: Linear Functions Student Name: Instructor: Math 112 Section: 2. According to the US Census Bureau, the population of the US in the year 2000 was 281,421,906 people In the year 2010, it was 308,745,538 pcople. The population was growing at an approximately constant rate during this period. Use this information to express the US population as a function of time since the year 2000. What would this model indicate that the US population was in the year 2005? (The actual population in that year was 296,507,061.)

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Consider that the population in the year 2000 was 281, 421, 906 and in the year 2010, it was 308, 745, 538 Note that the population was increasing at a constant rate during this period Therefore, the population at any time t (after 2000) is given by P(t) P(2000)+k P(t) 281, 421,906 +kt Here, k is a constant. Thus, the population at y t )-2814219 At t10 the population is 308, 745, 538. That is P(10) 308,754,538 Substitute 10 and P(10) 308,754,538 in P(t) 281,421,906+kt P(t) 281, 421,906+kt P(10) 281,421906+k(10) 308, 754,538 281,421,906+10k 10k 308, 754,538-281,421,906 10k 27332632 27332632 10 k 2733263.2

According to Chegg guidelines, only one question can be answered in one post.

Add a comment
Know the answer?
Add Answer to:
Math 112 Written Homework: Linear Functions Student Name: Instructor: Math 112 Section: 2. According to the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Math 112 Written Homework: Inverse Functions Student Name: Instructor: Math 112 Section: sentences. All graphs should...

    Math 112 Written Homework: Inverse Functions Student Name: Instructor: Math 112 Section: sentences. All graphs should be drawn accurately on this sheet, and be fully labeled Earlier in the semester, we found that the cost function for producing x pairs of a particular type of skates was given by: C(x) 752.75 +42.54x. What is the inverse of this function? What does it represent? Pick one ordered pair on the graph of the inverse function, and describe what it tells you...

  • 3. According to the US Census Bureau, the population of the US seniors 65 and older,...

    3. According to the US Census Bureau, the population of the US seniors 65 and older, in the year 2004 was approximately 36,300,000 people. In the year 2010, it was 40,267.984 people. The senior population was growing at an approximately constant rate during this period. a. Use this information to express the US senior population as a function of time since the year 2000

  • Student Name: Instructor Math 112 Unit 2 Written Homework 4: Polynomial Functions Math 112 Sectio...

    Student Name: Instructor Math 112 Unit 2 Written Homework 4: Polynomial Functions Math 112 Section:_ Directions Show all work, and answer each question that is asked Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. Apple iPhone sales (in millions of units) between 2007 and 2015 can be closely modeled by the polynomial function y f(t)--0.4442t3 +7.0873t2 -0.2478t +3.9307, where t is time in years since 2007. Graph this...

  • ASAP PLEASE! Math 112 Written Homework: Polynomial Functions Student Name: Instructor S.Andrews 1. A packa perimeter...

    ASAP PLEASE! Math 112 Written Homework: Polynomial Functions Student Name: Instructor S.Andrews 1. A packa perimeter of the ging company will only accept packages for shipment if the sum of its height and base is not more than 260 inches. Write a function to represent ight and perimeter the volume of a box with a square base, with sum of the he of the base equal to 260 inches. Label the provided diagram with your variables. What dimensions of such...

  • MATH 123 HW 9 Exponential Modeling Name Due Section work in order to receive full credit. Your fr...

    MATH 123 HW 9 Exponential Modeling Name Due Section work in order to receive full credit. Your friend sends out a chain letter e-mail to 12 people by the next day 15 people have received the letter. Assuming an exponential growth pattern, what is the growth factor for the number chain letters received? Do not round 1. 2. Consider the data in the table. Round all answers to 2 decimal places Time ValueAbsolute Change Relative Change 13.60 14.85 16.10 17.35...

  • (b) According to the article, “The growing ranks of unemployed graduates are worrying the authorities”. What...

    (b) According to the article, “The growing ranks of unemployed graduates are worrying the authorities”. What does this suggest about the relative size of the labour demand and labour supply shocks? IDLE HANDS;SKILLED BUT JOBLESS article THRONGS OF YOUNG people roam around the makeshift booths in an exhibition hall in northern Beijing. They are at a job fair organised by the municipal government, aimed at unemployed college graduates. Like most jobseekers in attendance, Su Jian has brought along a stack...

  • 2. Download the annual real GDP and GDP data of the United States 1950-2018 from FRED....

    2. Download the annual real GDP and GDP data of the United States 1950-2018 from FRED. For the real GDP, the data online is chain-weighted and uses 2012 as the base year. In the lecture hursday, I showed you the detailed method and calculated the new chain-weighted real GDP when 1990 is the base year. You are required to calculate a new sequence of chain- weighted real GDP given a new base-year. The base year you should use in your...

  • In your judgement, and given only the facts described in this case, should the management of...

    In your judgement, and given only the facts described in this case, should the management of Massey energy Company be held morally responsible for the deaths of the 29 miners? Explain in detail. Suppose that nothing more is learned about the explosion other than what is described in this case. Do you think Don Blankership should be held morally responsible for the deaths of the 29 miners? Explain in detail. Given only the facts described in this case, should the...

  • How can we assess whether a project is a success or a failure? This case presents...

    How can we assess whether a project is a success or a failure? This case presents two phases of a large business transformation project involving the implementation of an ERP system with the aim of creating an integrated company. The case illustrates some of the challenges associated with integration. It also presents the obstacles facing companies that undertake projects involving large information technology projects. Bombardier and Its Environment Joseph-Armand Bombardier was 15 years old when he built his first snowmobile...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT