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:

Frontal

refers to something pertaining to the front part of something, often used in the context of the frontal lobe of the brain.

Rollerblading

The activity or sport of moving on surfaces by wearing a pair of boots with a single line of small wheels attached to the bottom.

Frontal

In neuroscience, it refers to the frontal part of the brain, which is responsible for executive functions such as decision making, problem solving, control of purposeful behaviors, consciousness, and emotions.

Breakfast

The first meal of the day, usually eaten in the morning.