Quadratic Modeling The table shows fuel efficiencies of a vehicle at different speeds. • Graph the points and determine an appropriate model. • Find and interpret the x and y intercept • Use the equation of your model to find the "optimal" driving speed. Miles per Miles per gallon, y 14.5 hour, x 20 24 17.5 30 21.2 36 23.7 40 25.2 45 25.8 50 25.8 56 25.1 60 24.0 70 19.5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Quadratic Modeling
The table shows fuel efficiencies of a vehicle at different speeds.
• Graph the points and determine an appropriate model.
• Find and interpret the x and y intercept
• Use the equation of your model to find the “optimal" driving speed.
Miles per Miles per
hour, x
gallon, y
20
14.5
24
17.5
30
21.2
36
23.7
40
25.2
45
25.8
50
25.8
56
25.1
60
24.0
70
19.5
Transcribed Image Text:Quadratic Modeling The table shows fuel efficiencies of a vehicle at different speeds. • Graph the points and determine an appropriate model. • Find and interpret the x and y intercept • Use the equation of your model to find the “optimal" driving speed. Miles per Miles per hour, x gallon, y 20 14.5 24 17.5 30 21.2 36 23.7 40 25.2 45 25.8 50 25.8 56 25.1 60 24.0 70 19.5
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