Solve the Problem
-The Following Table Shows the Number of Speeding

question 198

Multiple Choice

Solve the problem
-The following table shows the number of speeding tickets issued in a county for the years 1994-1998, where 1 represents 1995, and so on.


This data can be approximated using the third-degree polynomial
$$T ( x ) = - 0.67 x ^ { 3 } + 0.57 x ^ { 2 } + 63.80 x + 4213$$
Use the Leading Coefficient Test to determine the end behavior to the right for the graph of T. Will this function be useful in modeling the number of speeding tickets issued over an extended period of time? Explain your answer.

• A) The graph of T decreases without bound to the right. Since the number of larceny thefts will eventually decrease, the function T will be useful in modeling the number of speeding tickets issued over an extended period of time.
• B) The graph of T decreases without bound to the right. This means that as \(x\) increases, the values of \(T\) will become more and more negative and the function will no longer model the number of speeding tickets issued.
• C) The graph of \(T\) increases without bound to the right. This means that as \(x\) increases, the values of \(T\) will become large and positive and, since the values of T will become so large, the function will no longer model the number of speeding tickets issued.
• D) The graph of \(T\) approaches zero for large values of \(x\). This means that \(T\) will not be useful in modeling the number of speeding tickets issued over an extended period.

---

Definitions:

Mental Or Physical Ability

The capacity of an individual to perform tasks or jobs, either cognitive/intellectual or bodily functions.

National Origin

Refers to the country where a person was born, or more broadly, the country from which their ancestors came.

Diversity

The inclusion of individuals from a variety of backgrounds, perspectives, and abilities, valued for enhancing creativity and innovation in the workplace.

Competitive Advantage

The ability to outperform one’s competitors due to a core competency that is difficult to copy or imitate.