Please check my work, the answer I am suppose to get is 17.5, but instead I got 2.5.

Solve the problem.

66. y varies jointly as a and b inversely as the square root of c, y=24 when a=6,b=4, and c=49. Find y when a=2, b=5, and c=16.
-I got: y=kab/ sqrt of c, y=2*5/ sqrt of 16, y=10/4, which reduces to y=2.5

1 answer

to find k:
24 = k(6)(4)/√49
which gave me k=7
then y = 7ab/√c

and for the second data values:
y = 7(2)(5)/51√16
= 70/4
=17.5