Use a Graphing Calculator to Plot the Data and Find

question 75

Multiple Choice

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-An engineer collects data showing the speed s of a given car model and its average miles per gallon M. Use a graphing calculator to plot the scatter diagram. What is the quadratic function of best fit? $\begin{array}{l|c}\text { Speed, s } & \mathrm{mph}, \mathrm{M} \\\hline 20 & 18 \\30 & 20 \\40 & 23 \\50 & 25 \\60 & 28 \\70 & 24 \\80 & 22\end{array}$

• A) \(\mathrm { M } ( \mathrm { s } ) = 0.063 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142\)
• B) \(M ( s ) = - 6.309 x ^ { 2 } + 0.720 x + 5.142\)
• C) \(\mathrm { M } ( \mathrm { s } ) = - 0.0063 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142\)
• D) \(\mathrm { M } ( \mathrm { s } ) = - 0.631 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142\)

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Definitions:

Margin Lost

The reduction in the potential profit margin due to factors such as discounts, errors, or inefficiencies.

Understocking

A situation where inventory levels are too low, potentially leading to lost sales and customer dissatisfaction.

Responsive Strategies

Responsive strategies are tactics adopted by businesses to quickly react to changes in market conditions or consumer preferences to stay competitive.

Demand Uncertainty

The unpredictability or variability in consumer demand for products or services.