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.

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First-borns

Refers to the first child born into a family, often associated with specific psychological and behavioral traits.

Later-borns

Siblings born after the first child in a family, who may experience different parenting styles, resources, and family dynamics than their older siblings.

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Intelligence Quotient, a score derived from standardized tests designed to measure human intelligence and cognitive abilities.

Dependent

In both general and statistical contexts, it refers to being influenced, determined by, or requiring aid from something else.