68. Environment: Fuel Economy. Gas mileage (miles per gallon, mpg) can be approximated by a quadratic function of speed. For a particular automobile, assume the vertex occurs when the speed is 50 miles per hour (the mpg will be 30). a. Write a quadratic function that models this relationship, assuming 70 miles per hour corresponds to 25 mpg. b. What gas mileage would you expect for this car driving 90 miles per hour? 45 35 (50, 30) (70, 25) 25 15 10 30 90 Speed (mph) MPG 50 70 245

68. Environment: Fuel Economy. Gas mileage (miles per gallon, mpg) can be approximated by a quadratic function of speed. For a particular automobile, assume the vertex occurs when the speed is 50 miles per hour (the mpg will be 30). a. Write a quadratic function that models this relationship, assuming 70 miles per hour corresponds to 25 mpg. b. What gas mileage would you expect for this car driving 90 miles per hour? 45 35 (50, 30) (70, 25) 25 15 10 30 90 Speed (mph) MPG 50 70 245

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

100%

68. Environment: Fuel Economy. Gas mileage (miles per gallon,
mpg) can be approximated by a quadratic function of speed.
For a particular automobile, assume the vertex occurs when the
speed is 50 miles per hour (the mpg will be 30).
a. Write a quadratic function that models this relationship,
assuming 70 miles per hour corresponds to 25 mpg.
b. What gas mileage would you expect for this car driving
90 miles per hour?
35
(50, 30)
(70, 25)
25
15
10
30
50
70
90
Speed (mph)
MPG
45

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