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

Question 66

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. Round to five decimal places.


A) y=0.00034x3+0.01950x20.04893x+4.79798y = - 0.00034 x ^ { 3 } + 0.01950 x ^ { 2 } - 0.04893 x + 4.79798
B) y=4.79798x30.04893x2+0.01950x0.00034y = 4.79798 x ^ { 3 } - 0.04893 x ^ { 2 } + 0.01950 x - 0.00034
C) y=0.00024x3+0.02250x20.03111x+4.68687y = - 0.00024 x ^ { 3 } + 0.02250 x ^ { 2 } - 0.03111 x + 4.68687
D) y=0.00053x3+0.02460x20.01893x+5.79798y = - 0.00053 x ^ { 3 } + 0.02460 x ^ { 2 } - 0.01893 x + 5.79798

Correct Answer:

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