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:

Detect Causes

The process of identifying factors or conditions that lead to the occurrence of a particular event or phenomenon.

Stereotypes

Widely held but fixed and oversimplified images or ideas of a particular type of person or thing, which often do not reflect reality.

Self-Fulfilling Prophecies

Expectations about a situation or person that lead to behaviors which cause the expectation to come true.

Cognitive Dissonance

A psychological concept describing the discomfort felt when holding conflicting cognition, beliefs, or values, prompting individuals to seek consistency.