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

---

Definitions:

Rights Offering

A financial offering in which a company grants existing shareholders the right to buy additional shares at a discount to the market price before the new shares are offered to the public.

Term Loans

Term loans are monetary loans that are repaid in regular payments over a set period of time, typically used for financing specific assets or projects.

Direct Business Loans

These are loans offered directly from a lender to a business without the use of intermediaries. This can provide more straightforward access to capital for businesses.

Green Shoe Provision

An option that allows underwriters to buy and sell additional shares if the demand exceeds expectations during an IPO.