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Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2224 pounds. When carrying 55 gallons of fuel, it weighs 2441 pounds. How much does the airplane weigh if it is carrying 70 gallons of fuel? Airplane weight (in pounds) Amount of fuel (in gallons) pounds X

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2224 pounds. When carrying 55 gallons of fuel, it weighs 2441 pounds. How much does the airplane weigh if it is carrying 70 gallons of fuel? Airplane weight (in pounds) Amount of fuel (in gallons) pounds X

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Application Problem with a Linear Function: Finding a Coordinate Given Two Points** This problem explores how the weight of an airplane is a linear function of the amount of fuel in its tank. The task is to determine the weight of the airplane when it carries a specified amount of fuel, given certain conditions. **Problem Statement:** Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2224 pounds. When carrying 55 gallons of fuel, it weighs 2441 pounds. How much does the airplane weigh if it is carrying 70 gallons of fuel? **Graph Explanation:** - The graph includes a straight line representing the linear relationship between the airplane's weight and the amount of fuel. - The x-axis represents the amount of fuel in gallons. - The y-axis represents the airplane weight in pounds. - With this information, you can determine the function's slope and use it to find the airplane's weight at 70 gallons of fuel. **Interactive Component:** - There is a box to input your answer in pounds. - Additional buttons include a "Check" button for verifying your answer and an "Explanation" button for more details on solving the problem.
Transcribed Image Text:**Application Problem with a Linear Function: Finding a Coordinate Given Two Points** This problem explores how the weight of an airplane is a linear function of the amount of fuel in its tank. The task is to determine the weight of the airplane when it carries a specified amount of fuel, given certain conditions. **Problem Statement:** Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2224 pounds. When carrying 55 gallons of fuel, it weighs 2441 pounds. How much does the airplane weigh if it is carrying 70 gallons of fuel? **Graph Explanation:** - The graph includes a straight line representing the linear relationship between the airplane's weight and the amount of fuel. - The x-axis represents the amount of fuel in gallons. - The y-axis represents the airplane weight in pounds. - With this information, you can determine the function's slope and use it to find the airplane's weight at 70 gallons of fuel. **Interactive Component:** - There is a box to input your answer in pounds. - Additional buttons include a "Check" button for verifying your answer and an "Explanation" button for more details on solving the problem.
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