Solve Problems Using Systems in Three Variables
-The Table Shows $2003 .$

Solve Problems Using Systems in Three Variables
-The table shows the percentage of people living below the poverty line in one U.S. city in the years 2000 through $2003 .$

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.]

A) $y = - 0.3 x ^ { 2 } + 1.8 x + 9.3$
B) $y = - 0.2 x ^ { 2 } + 1.6 x + 9.3$
C) $y = - 0.4 x ^ { 2 } + 2 x + 9.3$
D) $y = - 0.2 x ^ { 2 } + 1.5 x + 9.3$