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Creating Models for Quadratic Relationships 1. The number of miles a car can travel on a gallon of gasoline is related to its fuel efficiency. Fuel efficiency depends on many factors including the speed of the car. Driving at very slow or very fast speeds uses more gas than driving at a moderate speed, which means fuel efficiency can often be modeled by a quadratic function. For a certain model of car the fuel efficiency is maximized at 32 miles per gallon with a speed of 55 mph. At 65 mph the car can get 31 miles per gallon. 1. Which form of the quadratic function would be appropriate for modeling the fuel efficiency of this car? Justify your reasoning. es To ovob ras2 oups on yd Debom ed n s i o Relate the information in the problem to the parts of the quadratic equation you selected in part a.

Creating Models for Quadratic Relationships 1. The number of miles a car can travel on a gallon of gasoline is related to its fuel efficiency. Fuel efficiency depends on many factors including the speed of the car. Driving at very slow or very fast speeds uses more gas than driving at a moderate speed, which means fuel efficiency can often be modeled by a quadratic function. For a certain model of car the fuel efficiency is maximized at 32 miles per gallon with a speed of 55 mph. At 65 mph the car can get 31 miles per gallon. 1. Which form of the quadratic function would be appropriate for modeling the fuel efficiency of this car? Justify your reasoning. es To ovob ras2 oups on yd Debom ed n s i o Relate the information in the problem to the parts of the quadratic equation you selected in part a.

Calculus: Early Transcendentals
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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Creating Models for Quadratic Relationships bsO The number of miles a car can travel on a gallon of gasoline is related to its fuel efficiency. Fuel efficiency depends on many factors including the speed of the car. Driving at very slow or very fast speeds uses more gas than driving at a moderate speed, which means fuel efficiency can often be modeled by a quadratic function. For a certain model of car the fuel efficiency is maximized at 32 miles per gallon with a speed of 55 mph. At 65 mph the car can get 31 miles per gallon. 1. Which form of the quadratic function would be appropriate for modeling the fuel efficiency of this car? Justify your reasoning. a. es ovb sT ib no ovob ros noloups om ed so snst b. Relate the information in the problem to the parts of the quadratic equation you selected in part a. Create an equation to model the fuel efficiency of the car. Be sure to define your variables. С. Use your model to determine the gas mileage for a speed of 45 mph. Which yields a greater fuel efficiency, driving 25 mph or 75 mph? Use mathematics to justify your answer. e. d.
Transcribed Image Text:Creating Models for Quadratic Relationships bsO The number of miles a car can travel on a gallon of gasoline is related to its fuel efficiency. Fuel efficiency depends on many factors including the speed of the car. Driving at very slow or very fast speeds uses more gas than driving at a moderate speed, which means fuel efficiency can often be modeled by a quadratic function. For a certain model of car the fuel efficiency is maximized at 32 miles per gallon with a speed of 55 mph. At 65 mph the car can get 31 miles per gallon. 1. Which form of the quadratic function would be appropriate for modeling the fuel efficiency of this car? Justify your reasoning. a. es ovb sT ib no ovob ros noloups om ed so snst b. Relate the information in the problem to the parts of the quadratic equation you selected in part a. Create an equation to model the fuel efficiency of the car. Be sure to define your variables. С. Use your model to determine the gas mileage for a speed of 45 mph. Which yields a greater fuel efficiency, driving 25 mph or 75 mph? Use mathematics to justify your answer. e. d.
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