Solve the Problem $( x , y )$ Where $x$ Is the Number of Years After 2000 And

question 68

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) \(y = - 0.3 x ^ { 2 } + 1.6 x + 11.7\)
• B) \(y = - 0.4 x ^ { 2 } + 1.8 x + 11.7\)
• C) \(y = - 0.2 x ^ { 2 } + 1.4 x + 11.7\)
• D) \(\mathrm { y } = - 0.4 \mathrm { x } ^ { 2 } + 1.9 \mathrm { x } + 11.7\)

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Definitions:

Resource Market

The resource market is where raw materials, labor, and capital resources are traded, enabling firms to produce goods and services and reflecting the interaction between supply and demand for resources.

Gross Domestic Product

A measure of the market value of all final goods and services produced in a country during a specific period, illustrating the size of its economy.

Unpaid Volunteer

An individual who offers services by choice without receiving monetary compensation for their work.

Value Added

Value added refers to the additional value created at each stage of production or service, calculated as the sales revenue minus the cost of raw materials and intermediate goods.