The value of y varies inversely as sqrt x and when x=24,y=15. What is x when y=3?
We have that
y = k / √x
So
15 = k / √24
k = 15√24
And when y = 3 we have that
3 = 15√24 / √x divde both sides by 15√24
3 1
_____ = ____ cross-multiply
15√24 √x
3√x = 15√24 divide both sides by 3
√x = 5√24 square both sides
x = 25*24 = 600
