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.
According to Newton's law of universal gravitation, the force F between two bodies of constant mass
GmM
m and M is given by the formula F =
, where G is the gravitational constant and d is the
d²
distance between the bodies.
a. Suppose that G, m, and M are constants. Find the rate of change of force F with respect to
distance d.
F' (d)
2GmM
b. Find the rate of change of force F with gravitational constant G = 6.67 × 10-¹¹ Nm²/kg², on
two bodies 5 meters apart, each with a mass of 250 kilograms. Answer in scientific notation,
rounding to 2 decimal places.
-6.67x10
N/m syntax incomplete.
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