Question

It is given that y is directly proportional to x raise to power n and write down the value of n when y metre square is area of a square of length x metre

Answer 1

The correct answer is 2.

Explanation:

Given y is directly proportional to x raised to the power n.

⇒ y
`\alpha`
`x^(n)`

⇒ y = p ×
`x^(n)` with p being the constant of proportion.

Let y be the area of a square of side x meters.

Therefore y =
`x^(2)` square meters.

Now according to the given problem, comparing both the above mentioned equation we get the value of n equal to 2.