If b varies directly as the square root of w and b equals a negative 24 when w equals 36, what is w when b is equal to 1/8?

Answer 1

" b varies directly as the square root of w" --> b = k√w, where k is a constant

given: b = -24 , w = 36
-24 = k√36
k = -24/6 = -4

b = -4√w
1/8 = -4√w
√w = -1/32

by definition √w will be a positive number , so there is no solution.
Are you sure b wasn't -1/8 ?

Answer 2

yes this is off a take home test