Use a Graphing Calculator to Plot the Data and Find

question 260

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? $\begin{array}{l|c}\text { Speed, s } & \text { mph, M } \\\hline 20 & 18 \\30 & 20 \\40 & 23 \\50 & 25 \\60 & 28 \\70 & 24 \\80 & 22\end{array}$

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

---

Definitions:

Fixed Cost

Costs that do not vary with the level of production or sales, such as rent, salaries, and insurance, remaining constant regardless of the amount of goods or services produced.

Demand Curve

A graph showing the relationship between the quantity of a good that consumers are willing and able to purchase and the price of the good.

Marginal Cost

The hike in cost incurred by generating an additional unit of a good or service.

Profit-Maximizing

This is the process by which a firm decides on the price and output level that returns the maximum profit.