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Solve the Problem A) m(x)=2.0100x20.02x15.2m ( x ) = 2.0100 x ^ { 2 } - 0.02 x - 15.2

Question 42

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. x253035404550556065m(x) 20.724.42728.428.727.825.822.618.3\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) =2.0100x20.02x15.2m ( x ) = 2.0100 x ^ { 2 } - 0.02 x - 15.2
B) m(x) =0.023x2+2.01x15.2m ( x ) = - 0.023 x ^ { 2 } + 2.01 x - 15.2
C) m(x) =0.0260x20.06x+6.0m ( x ) = 0.0260 x ^ { 2 } - 0.06 x + 6.0
D) m(x) =0.0600x2+0.03x+6.0m ( x ) = - 0.0600 x ^ { 2 } + 0.03 x + 6.0

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