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The Table Below Gives the Violent Crime Rate (Per 100,000

question 218

Multiple Choice

The table below gives the violent crime rate (per 100,000 people) for a particular state every five years from 1970 to 2010.  Year  Violent Crime  Rate 19704.819755.019805.919857.319908.9199510.4200011.6200512.3201012.1\begin{array} { c | c } \text { Year } & \begin{array} { c } \text { Violent Crime } \\\text { Rate }\end{array} \\\hline 1970 & 4.8 \\\hline 1975 & 5.0 \\\hline 1980 & 5.9 \\\hline 1985 & 7.3 \\\hline 1990 & 8.9 \\\hline 1995 & 10.4 \\\hline 2000 & 11.6 \\\hline 2005 & 12.3 \\\hline 2010 & 12.1\end{array} Use technology to find the cubic function that is the best fit for this data, where x is the number of years after 1970. Use the model to estimate the year having a violent crime rate of 11.4 per 100,000.

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Definitions:

Angle Theta

In various contexts, represents an angle, often used in trigonometry, physics, and geometry to denote a specific rotation or orientation.

Series RC

A circuit configuration where a resistor (R) and a capacitor (C) are connected in a series arrangement.

Apparent Power

The measure of the total power in an electrical circuit, represented as the product of voltage and current without taking phase differences into account.

Series RC

An electrical circuit configuration where a resistor (R) and a capacitor (C) are connected in series with each other.

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