The population of a certain country was approximately 50 million in 1900, 225 million in 1950, and 350 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,50), (50,225), and (100,350). Use this model toestimate the population in 2050.Let x be the number of years since 1900 and y be the population in millions.y =(Use integers or decimals for any numbers in the expression.)According to the model, what will the population be in the year 2050?milliony =-C

Answered: Image /qna-images/answer/a3d1998a-839c-46f8-a101-a9ee4c97b17a.jpg

Answered: The population of a certain country was…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write an equation relating the variables in each of the following situations. a. The pay P for t hours at $17 an hour. b. The total pay P for a day of t working hours on which you charge a base rate of $26 and $19 for each hour worked. c. The total pay P for t hours at $20 for the first hour and $14 for each additional hour.
One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.
You decide to purchase a brand new boat for $19,000. You sell it 8 years later for its worth $7,500. Assuming the boat’s value depreciates linearly, how much was it worth 4 years after you bought it?
if current trends continue, the median weekly earnings(in dollars) that a male can expect to earn is approximately by the equation y=17.4x+639, where x=0 corresponds to the year 2000. In what year will males achieve median weekly earnings of $900?
A small town has two local high schools. High School A currently has 60o students and is projected to grow by 65 students each year. High School B currently has 950 students and is projected to grow by 30 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same. A = В - Answer:
The data in the table shows the number of mother-to-child HIV infections diagnosed in the United States in various years from 1985 to 2005. How can we learn from the data? Practice the following questions: 1. Make a scatter plot to display the data. You can use any graphing technology. Why would a quadratic model make sense? 2. Determine an equation for this relation. Which form (standard, vertex or factored) do you think is the best for these data and why? 3. Based on your model, will the number of HIV cases ever be reduced to zero? If so, when? Explain reasoning.
Let �(�) be the height of a maple tree in inches and � the number of years since 2000. A linear model for the data is �(�)=9.44�+84.182.36912155060708090100110120130140150160170180190200210220A) To the nearest inch, estimate the height of the maple tree in 2012. inchesB) Use the equation to find the year in which the tree will be 249 inches tall.
In 2005 the average annual and fees for attending a private college or university was $22000. This cost rose to about $36000 in 2015, as illustrated in the graph. Complete parts a and b
In the summer, a certain lake’s water temperature is known to increase linearly with time. On June 1, the water temperature is measured at 40°F, and on July 1, it is 55°F. Which of the following represents the water temperature of the lake on July 31? a. 70°Fb. 65°Fc. 60°Fd. 75°Fe. 68°Ff. 72°F
Using U.S. Bureau of Labor Statistics data for selected years from 1950 and projected to 2050, the number of men in the U.S. workforce(in millions) can be approximated by ? = 0.59? + 43.2 where x equals the number of years past 1950. Find the projected number of men in the U.S. workforce in 2050 according to this model.
Degrees Earned The number of postsecondarydegrees earned, in thousands (including associate’s,bachelor’s, master’s, first professional, and doctoral degrees), can be modeled by y = 3.980x2 -17.597x + 2180.899, where x is the number of yearsafter 1990. If this model is accurate, during what yearsfrom 1990 on would the number of postsecondarydegrees earned be less than 3500 thousand?
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.

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