Question

If y varies inversely as the square of x, and y=7/4 when x=1, find y when x=3

Answer 1

y varies inversely as the square of x. So we can write the relation between x and y as:

where k is a constant of proportionality. It is given that y = 7/4 when x = 1.

Using these values, we can write:

So, now the equation in terms of x and y can be written as:

We are to find y when x = 3. So we can write:

Thus, for x= 3 value of y will be 7/36

Hope this helps!!!