Suppose X and Y are two variables in a model. For each of the relationships described below, check the box if the relationship can be expressed as a linear equation or inequality. It would help to write down the relationship algebraically. The sum X + Y is twice the difference X - Y The ratio X/Y must not exceed 2Y. X grows as the square of Y. The sum of the reciprocals 1/X and 1/Y is equal to 2. The product of X and Y must be no more than 3. The sum of X and one-third Y must equal 5. The ratio of X to Y must be at least 1.5. The proportion of X in the total X + Y cannot exceed 10. X is inversely proportional to Y X grows 2.5 times as fast as Y.

1. The sum X + Y is twice the difference X - Y Algebraic form: X + Y = 2(X - Y) Expand…

Answered: Suppose X and Y are two variables in a…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 92E

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Suppose X and Y are two variables in a model. For each of the relationships described below, check the box if the relationship can be expressed as a linear equation or inequality. It would help to write down the relationship algebraically.

	The sum X + Y is twice the difference X - Y
	The ratio X/Y must not exceed 2Y.
	X grows as the square of Y.
	The sum of the reciprocals 1/X and 1/Y is equal to 2.
	The product of X and Y must be no more than 3.
	The sum of X and one-third Y must equal 5.
	The ratio of X to Y must be at least 1.5.
	The proportion of X in the total X + Y cannot exceed 10.
	X is inversely proportional to Y
	X grows 2.5 times as fast as Y.