The population of a certain country was approximately 75 million in 1900, 225 million in 1950, and 275 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,75), (50,225), and (100,275). Use this model to estimate the population in 2050. Let x be the number of years since 1900 and y be the population in millions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 55HP
icon
Related questions
Question

The population of a certain country was approximately 75 million in​ 1900, 225 million in​ 1950, and 275 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points ​(0,75​), ​(50​,225​), and (100​,275​). Use this model to estimate the population in 2050.

The population of a certain country was approximately 75 million in 1900, 225 million in 1950, and 275 million in
2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points
(0,75), (50,225), and (100,275). Use this model to estimate 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?
y =million
Transcribed Image Text:The population of a certain country was approximately 75 million in 1900, 225 million in 1950, and 275 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,75), (50,225), and (100,275). Use this model to estimate 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? y =million
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning