Posted by **Trey** on Sunday, September 16, 2012 at 8:56pm.

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?

- Math -
**Reiny**, Sunday, September 16, 2012 at 9:28pm
" 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 ?

- Math -
**edwin**, Monday, September 17, 2012 at 8:01pm
yes this is off a take home test

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