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write formula of direct proportion and inserve proportion​

Answer 1

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For direct variation, use the equation y = kx, where k is the constant of proportionality. For inverse variation, use the equation y = k/x, again, with k as the constant of proportionality. Remember that these problems might use the word 'proportion' instead of 'variation,' but it means the same thing.

Answer 2

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✴ Direct Proportion :-

Two quantities a and b are said to be in direct proportion if they increase or decrease together. In other words, the ratio of their corresponding values remains constant. This means that,

a/ b = k

where k is a positive number, then the quantities a and b are said to vary directly.

In such a case if the values b1, b2 of b corresponding to the values a1, a2 of a respectively then it becomes;

a1//b1 = a2 /b2

The direct proportion is also known as direct variation.

✴ Inverse Proportion :-

The value is said to inversely proportional when one value increases and the other decreases. The proportionality symbol is used in a different way. Consider an example, we know that the more workers on a job would reduce the time to complete the task. It is represented as

Number of workers ∝ (1/ Time taken to complete the job)