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:

Excise Taxes

Taxes applied to the purchase of specific goods or activities, sometimes used to discourage consumption of certain items.

Deadweight Loss

A loss of economic efficiency that can occur when the equilibrium for a good or service is not achieved or is not achievable.

Revenue

The total amount of money received by a company for goods sold or services provided during a certain time period.

Deadweight Loss

The loss of economic efficiency when the equilibrium in a market is not achieved or is unachievable, leading to a potential loss of social welfare.