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

question 89

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. $\begin{array} { c | c } \text { Year } & \begin{array} { c } \text { Violent Crime } \\\text { Rate }\end{array} \\\hline 1970 & 4.8 \\\hline 1975 & 5.0 \\\hline 1980 & 5.9 \\\hline 1985 & 7.3 \\\hline 1990 & 8.9 \\\hline 1995 & 10.4 \\\hline 2000 & 11.6 \\\hline 2005 & 12.3 \\\hline 2010 & 12.1\end{array}$
Use technology to find the cubic function that is the best fit for this data, where x is the number of years after 1970. Round to five decimal places.

• A) \(y = - 0.00034 x ^ { 3 } + 0.01950 x ^ { 2 } - 0.04893 x + 4.79798\)
• B) \(y = 4.79798 x ^ { 3 } - 0.04893 x ^ { 2 } + 0.01950 x - 0.00034\)
• C) \(y = - 0.00024 x ^ { 3 } + 0.02250 x ^ { 2 } - 0.03111 x + 4.68687\)
• D) \(y = - 0.00053 x ^ { 3 } + 0.02460 x ^ { 2 } - 0.01893 x + 5.79798\)

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Definitions:

Machinery

Equipment consisting of complex systems and components used in industrial operations or manufacturing processes.

Investing Activities

Transactions involving the acquisition or disposal of long-term assets and other investments not included in cash equivalents.

Machinery

Industrial or commercial equipment and devices designed for specific tasks, contributing to the production or service capabilities of a business.

Cash Flow

The total amount of money being transferred into and out of a business, measuring liquidity, financial flexibility, and overall financial health.