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). 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 neatest 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). 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 neatest mile per hour. c. What is the maximum gas mileage? Round to the nearest mile per gallon.
Solution Summary: The author explains how to determine the quadratic function of the following data using Ti-83 graphing calculator.
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).
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 neatest mile per hour.
c. What is the maximum gas mileage? Round to the nearest mile per gallon.
Two cables tied together at C are loaded as shown. Given: Q = 130 lb.
8
30°
C
B
Q
3
4
Draw the free-body diagram needed to determine the range of values of P for which both cables remain taut.
Cable AB is 103 ft long and the tension in the cable is 3900 lb.
56 ft
A
50°
20°
B
x
C
Identify the angles 0.0, and 8, that define the direction of force.
1
By
N
2
Match each of the options above to the items below.
142.1°
57.1°
73.3°
3
8.
In the given figure, P = 51 lb .
65°
C
25°
35°
75 lb
P
Determine the corresponding magnitude of the resultant.
The corresponding magnitude of the resultant is|
lb.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY