it is given that y is directly proportional to x^n write down the value of n when y m square is the area of a square of length x m
y = kx^n
The area of a square of length x m is x^2 m^2
so, what do you think?
To determine the value of n when y is directly proportional to x^n, we can look at the relationship expressed in the problem.
It is given that y is directly proportional to x^n. This can be written as:
y ∝ x^n
In this case, y represents the area of a square with side length x. So, y = x^2 (y m square is the area of a square of length x m).
Now, let's equate the two representations:
y = x^2
Comparing this with y ∝ x^n, we can see that n = 2. Therefore, the value of n in this case is 2.