The value of y varies inversely as sqrt x and when x=2, y=4. What is x when y=1?
+23245 y varies inversely as sqrt(x) ---> y = k / sqrt(x)
x = 2, y = 4 ---> 4 = k / sqrt(2) ---> 4·sqrt(2) = k
x = ?, y = 1 ---> 1 = 4·sqrt(2) / sqrt(x)
---> 1·sqrt(x) = 4·sqrt(2)
---> sqrt(x) = 4·sqrt(2)
---> [ sqrt(x) ]2 = [ 4·sqrt(2) ]2
---> x = 32
+2094 geno... I think you had a mistake.
The formula for inverse proportion is x= k/y.
From the x and y values we were given, we can find out that 2=k/4.
We can figure out that k=8.
Now the equation: Since we know k, we can plug in k as x, and y as 1 from the given value.
x=8/1.
Therefore, x will be equal to 8.
