Use a Graphing Calculator to Plot the Data and Find

question 57

Multiple Choice

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-Southern Granite and Marble sells granite and marble by the square yard. One of its granite patterns is price sensitive. If the price is too low, customers perceive that it has less quality. If the price is too high, customers
Perceive that it is overpriced. The company conducted a pricing test with potential customers. The following
Data was collected. Use a graphing calculator to plot the data. What is the quadratic function of best fit? $\begin{array}{c|l}\text { Price, } x & \text { Buyers, B } \\\hline \$ 20 & 30 \\\$ 30 & 50 \\\$ 40 & 65 \\\$ 60 & 75 \\\$ 80 & 72 \\\$ 100 & 50 \\\$ 110 & 25\end{array}$

• A) \(B ( x ) = - 0.243 x ^ { 2 } + 3.115 x - 22.13\)
• B) \(B ( x ) = 0.0243 x ^ { 2 } - 3.115 x - 22.13\)
• C) \(B ( x ) = - 0.0243 x ^ { 2 } + 3.115 x - 22.13\)
• D) \(B ( x ) = - 0.0243 x ^ { 2 } + 3.115 x + 22.13\)

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Definitions:

Algebraic Expression

A mathematical phrase that can include numbers, variables, and operation symbols but does not have an equals sign.

Janitorial Department

The division or section within an organization responsible for maintaining the cleanliness, order, and upkeep of the premises.

Maintenance Department

A functional area within an organization responsible for the upkeep of physical assets, machinery, and buildings.

Support Department Costs

Expenses that are not directly tied to the production of goods or services but are necessary for supporting the operations of a business, like IT or HR departments.