Use a Graphing Calculator to Plot the Data and Find

question 270

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

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Definitions:

Logging Company

A business involved in cutting down trees, processing timber, and possibly engaging in forestry management and sales of wood products.

Secondary Sector

Part of the economy that involves industrial activity, including manufacturing and construction, that processes raw materials into finished goods.

Economy

The large set of interrelated production, consumption, and exchange activities that aid in determining how scarce resources are allocated.

Salmon Processing

The industrial activity of preparing salmon for market, involving cleaning, canning, freezing, or smoking the fish.