Question

y is inversly proportional to $x^2$.
Given that y = 2.5 when x = 24. Write the expresion for y in terms of x.Also find the value of x when y=1.6

Answer 1

As y is inversely proportional to x, y$x^2$ = constant = k

From the given values, k = 24 x 24 x 2.5 = 1440

So, the required expression is y = 1440/$x^2$>

Substituting y = 1.6 in the above formula,

x = 30.