The table shows the percentage of people living below the poverty line in one U.S. city in the years 2000 through 2003. Percentage of people living below poverty line Year 2000 11.7 2001 13 2002 13.7 2003 13.8 The data in the table can be written as ordered pairs (x, y) where x is the number of years after 2000 and y is the percentage of people living below the poverty line in that year. Use the data for 2000, 2002, and 2003 to find the quadratic function y = ax2 + bx + c that models the percentage, y, of people in this city living below the poverty line x years after 2000. [Hint: Find a, b, and c by substituting each of three ordered pairs into the function and writing and solving a system of linear equations in three variables.]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 81E
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Šolve the problem.
The table shows the percentage of people living below the poverty line in one U.S.
city in the years 2000 through 2003.
Percentage of people living
below poverty line
11.7
Year
2000
2001
13
2002
13.7
2003
13.8
The data in the table can be written as ordered pairs (x, y) where x is the number of
years after 2000 and y is the percentage of people living below the poverty line in
that year. Use the data for 2000, 2002, and 2003 to find the quadratic function
+ bx +c that models the percentage, y, of people in this city living below the
y= ax2
poverty line x years after 2000.
[Hint: Find a, b, and c by substituting each of three ordered pairs into the function
and writing and solving a system of linear equations in three variables.]
Oy = -0.3x2 + 1.6x + 11.7
y = -0.4x2 + 1.9x + 11.7
Oy = -0.4x2 + 1.8x + 11.7
y = -0.2x2 + 1.4x + 11.7
%3D
Transcribed Image Text:Šolve the problem. The table shows the percentage of people living below the poverty line in one U.S. city in the years 2000 through 2003. Percentage of people living below poverty line 11.7 Year 2000 2001 13 2002 13.7 2003 13.8 The data in the table can be written as ordered pairs (x, y) where x is the number of years after 2000 and y is the percentage of people living below the poverty line in that year. Use the data for 2000, 2002, and 2003 to find the quadratic function + bx +c that models the percentage, y, of people in this city living below the y= ax2 poverty line x years after 2000. [Hint: Find a, b, and c by substituting each of three ordered pairs into the function and writing and solving a system of linear equations in three variables.] Oy = -0.3x2 + 1.6x + 11.7 y = -0.4x2 + 1.9x + 11.7 Oy = -0.4x2 + 1.8x + 11.7 y = -0.2x2 + 1.4x + 11.7 %3D
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