Question

Describe the difference between direct variation and inverse variation.

Answer 1

When two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y, direct variation occurs, whereas indirect or inverse variation occurs when an increase in the value of X results in a decrease in the value of Y and vice versa.

Difference between direct variation and inverse variation:

• To give the reader a hint, direct variation equations use the same phrase.
• The phrase is either "directly proportional" or "directly varies."
• The area of a square, for example, varies directly from the square of its side.
• Direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y.
• Inverse variation is a relationship between two variables in which the value of one increases while the value of the other decreases.
• Indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.

Therefore, direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y whereas indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.

Know more about inverse variation here:

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