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). 25 30 35 40 45 т(x) 22.7 25.1 27.9 30.8 31.9 50 55 60 65 т(x) 30.9 28.4 24.2 21.9 a. Use regression to find a quadratic function to model the data. b. At what speed is the gas mileage the greatest? Round to the nearest mile per hour. c. What is the maximum gas mileage? Round to the nearest mile per gallon.
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). 25 30 35 40 45 т(x) 22.7 25.1 27.9 30.8 31.9 50 55 60 65 т(x) 30.9 28.4 24.2 21.9 a. Use regression to find a quadratic function to model the data. b. At what speed is the gas mileage the greatest? Round to the nearest mile per hour. c. What is the maximum gas mileage? Round to the nearest mile per gallon.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 55E
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Transcribed Image Text: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).
25
30
35
40
45
т(x)
22.7
25.1
27.9
30.8
31.9
50
55
60
65
т(x)
30.9
28.4
24.2
21.9
a. Use regression to find a quadratic function to model the data.
b. At what speed is the gas mileage the greatest? Round to the nearest mile per hour.
c. What is the maximum gas mileage? Round to the nearest mile per gallon.
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