The population of a certain country was approximately 50 million in 1900, 225 million in 1950, and 375 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 (100,375). Use this model to estimate the population in 2050.  a. Let x be the number of years since 1900 and y be the population in millions  b. According to the model, what will be the population in 2050

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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The population of a certain country was approximately 50 million in 1900, 225 million in 1950, and 375 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 (100,375). Use this model to estimate the population in 2050. 

a. Let x be the number of years since 1900 and y be the population in millions 

b. According to the model, what will be the population in 2050

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