# Direct and Inverse Variation

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### Direct and Inverse Variation:

Direct and Inverse Variation Chapter - 9

### PowerPoint Presentation:

There are two types of variation: *Direct Variation. *Inverse Variation.

### Direct Variation:

Direct Variation An increase or decrease in one quantity with a corresponding increase or decrease in another quantity such that the ratio remains constant is called direct variation.

### If 15 books cost `750, what is the cost of 20 books?:

If 15 books cost ` 750, what is the cost of 20 books? Number of books - Cost 15 - 750 20 - x If the number of books increase, the cost will also increase. We can write it as 15/20 = 750/x By Cross Multiplying: 15x=20 X 750 x = 20 X 750/15 = ` 1,000. ` 1,000.

### Inverse Variation:

Inverse Variation When two quantities vary inversely, an increase in one leads to the decrease in the other quantity and vice versa, in inverse ratio.

### If 15 men can paint a building in 24 days, how long will 9 men take to paint the same building?:

If 15 men can paint a building in 24 days, how long will 9 men take to paint the same building? Men - Days 15 - 24 9 - x If the number of men decreases, the number of days to paint the building will increase. By Cross Multiplying: 9x = 15 X 24 x = 15 X 24/9 = 40 We can write it as 15/9 = x/24 40 Days

### Notes:-:

Notes:- In direct variation as one quantity increases, the other related quantity increase. As one quantity decreases the other related quantity decreases. In inverse variation as one quantity increases, the other related quantity decrease. As one quantity decreases the other related quantity increases.

### PowerPoint Presentation:

By:- J. Jeya Vishva Viii - C