About Direct Variation Formula
The relationship between two variables in which one is a constant multiple of the other is known as direct variation. When one variable affects the other, for example, they are said to be proportional. The equation b = ka is used when b is directly proportional to a. (where k is a constant). When two variables are coupled in such a way that the ratio of their values remains constant, they are said to be in direct variation. Direct variation can be stated in a variety of ways mathematically. Because the ratio of y to x never changes, y and x fluctuate directly in equation form. More Maths Formulas on the parent's page.
The formula for direct variation is: y ∝ x => y = kx
Solved Example of Direct Variation Formula
Example: The number of wooden blocks used determines the number of wooden boxes produced. A total of 120 wooden blocks are required for 30 boxes. How many wooden blocks does a box require?
Sol:
- In the given problem,
- Number of wooden blocks needed for 30 boxes = y = 120
- Number of boxes = x = 30
- Number of wooden blocks needed for a box = k
- The direct variation formula is,
- y = k × x
- 120 = k × 30
- k = 120/30
- k = 4
- Number of wooden blocks needed for a box = 4
