Solve the Problem A) $m ( x ) = 2.0100 x ^ { 2 } - 0.02 x - 15.2$

question 294

Multiple Choice

Solve the problem.
-Gas mileage is tested for a car under different driving conditions. At lower speeds, the car is driven in stop and go traffic. At higher speeds, the car must overcome more wind resistance. The variable x
Given in the table represents the speed (in mph) for a compact car, and m(x) represents the gas mileage
(in mpg) . Use regression to find a quadratic function to model the data. $\begin{array}{c|ccccccccc}x & 25 & 30 & 35 & 40 & 45 & 50 & 55 & 60 & 65 \\\hline m(x) & 20.7 & 24.4 & 27 & 28.4 & 28.7 & 27.8 & 25.8 & 22.6 & 18.3\end{array}$

• A) \(m ( x ) = 2.0100 x ^ { 2 } - 0.02 x - 15.2\)
• B) \(m ( x ) = - 0.023 x ^ { 2 } + 2.01 x - 15.2\)
• C) \(m ( x ) = 0.0260 x ^ { 2 } - 0.06 x + 6.0\)
• D) \(m ( x ) = - 0.0600 x ^ { 2 } + 0.03 x + 6.0\)

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Definitions:

Variable Costs

Costs that change in proportion to the level of production or business activity.

Overhead Efficiency Variance

A measure used in cost accounting to analyze the difference between the budgeted overhead costs and the actual overhead costs based on efficient use of resources.

Actual Outputs

The real, measurable production or work results achieved by a company or an individual, often compared to planned or expected outputs.

Flexible Budget

A budget that adjusts or flexes with changes in volume or activity levels, allowing for more accurate financial planning.