Solve the Problem
-The Table Shows the Percentage of People $x , y )$

question 45

Multiple Choice

Solve 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.


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 $y = a x ^ { 2 } + b x + c$ 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) \(y = - 0.3 x ^ { 2 } + 1.3 x + 11.6\)
• B) \(y = - 0.5 x ^ { 2 } + 1.7 x + 11.6\)
• C) \(y = - 0.5 x ^ { 2 } + 1.8 x + 11.6\)
• D) \(y = - 0.4 x ^ { 2 } + 1.5 x + 11.6\)

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Definitions:

Morality

Criteria for determining what constitutes virtuous versus villainous behavior.

Ethics

The branch of philosophy that deals with questions about morality, guiding principles on what is right or wrong in human conduct.

Criminal Justice System

The set of agencies and processes established by governments to control crime and impose penalties on those who violate laws.

Kant's Theory

A philosophical approach developed by Immanuel Kant, emphasizing duty, moral law, and the categorical imperative.