Solve the Problem (A) Use the Data to Create a Model of the County

question 110

Multiple Choice

Solve the problem.
-The number of adults in a certain county with a college degree has been rising since the year 2005. Let x represent the number of years since the year 2000, and let y represent the number of 1000s of Adults in the county with a college degree for year x.
$$\begin{array}{l}\text { Number of Years Number of Adults with a College }\\\begin{array} { c | c } \text { Since } 2005 ( x ) & \text { Degree } ( y \text { in } 1000 \mathrm {~s} ) \\\hline 0 & 10 \\\hline 4 & 18 \\\hline 6 & 52\end{array}\end{array}$$
(a) Use the data to create a model of the form $y = a x ^ { 2 } + b x + c$
(b) Use the model to approximate the number of adults in the county who will have a college degree for the Year 2015.

• A) \(y = 10 x ^ { 2 } + 18 x + 52 ; 452,500\) adults
• B) \(y = 6 x ^ { 2 } + 4 x + 10 ; 180,000\) adults
• C) \(y = - 8 x ^ { 2 } + 2.5 x + 10 ; 452,500\) adults
• D) \(y = 2.5 x ^ { 2 } - 8 x + 10 ; 180,000\) adults

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Definitions:

Task

A defined piece of work or activity assigned to an individual or team as part of their duties or projects.

Citizenship

In the context of organizational behavior, it refers to employee actions that are beneficial to the workplace environment and culture, extending beyond the scope of their job descriptions.

Work Motivation

The internal and external factors that stimulate workers to take actions that lead to achieving personal and organizational goals.

Effort

The amount of physical or mental energy put into a task or activity to achieve a particular outcome.