Use a Graphing Calculator to Plot the Data and Find

question 293

Multiple Choice

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A small manufacturing firm collected the following data on advertising expenditures (in thousands of dollars) and total revenue (in thousands of dollars) . $\begin{array}{c|c}\text { Advertising, } \mathrm{x} & \text { Total Revenue, } \mathrm{R} \\\hline 25 & 6430 \\28 & 6432 \\31 & 6434 \\32 & 6434 \\34 & 6434 \\39 & 6431 \\40 & 6432 \\45 & 6420\end{array}$

Find the quadratic function of best fit.

• A) \(R ( x ) = - 0.015 x ^ { 2 } + 4.53 x + 6123\)
• B) \(R ( x ) = - 0.091 x ^ { 2 } + 5.95 x + 6337\)
• C) \(R ( x ) = - 0.024 x ^ { 2 } + 7.13 x + 6209\)
• D) \(R ( x ) = - 0.31 x ^ { 2 } + 2.63 x + 6128\)

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Definitions:

Moderate Physical Activity

Exercises that elevate the heart rate to a level where speaking is possible but not easy, beneficial for overall health.

Moderately Vigorous Activity

Physical activity that is energetically demanding to some extent but not to the degree of causing excessive fatigue or physical stress.

Aerobic Exercise

Physical activity that improves cardiovascular endurance by promoting the circulation of oxygen through the blood.

Proper Shoes

Footwear that is well-fitted, suitable for one’s foot shape, and appropriate for specific activities to prevent injuries and improve comfort.