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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.

 

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