Suppose that y is inversely proportional to the square root of x, and that y=45 when x=64. What
is y when x=25?

Solution:

Given that,

y is inversely proportional to the square root of x

Therefore,

----------- eqn 1

Where, c is constant of propotionality

y = 45 when x = 64

Substitute in eqn 1

What  is y when x = 25?

Substitute x = 25 and c = 5.625 in eqn 1

Thus y is 28.125 when x = 25