suppose that y varies directly as the square root of x and t

suppose that y varies directly as the square root of x, and that y=25 when x=25 find x when y=35

Solution

y varies directly as the square root of x

y = k(sqrt(x) where k is constant

So, y2/y1 = sqrt( x2/x1)

35/25 = sqrt(x/25)

7/5 = sqrt(x)/5

7 = sqrt(x)

So, x= 7^2 = 49

x = 49