Question

y is proportional to the square root of x.
When x = 16, y = 10.
(a) Find an equation connecting x and y
(b) Find the value of x when y = 1.

Answer 1

y is proportional to √x
⇒y = k√x   , k= constant
y=10, x= 16
substituting this value
10= k√16 = 4k
⇒k =5/2
(a) y = (5/2)√x
⇒2y = 5√x
(b)when y =1.
⇒√x = 2/5
⇒x = 4/25