SOLUTION: If m varies directly to the square root of k, and k = 196 when m = 27. Find m when k = 4,900.

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Question 761676: If m varies directly to the square root of k, and k = 196 when m = 27. Find m when k = 4,900.
Answer by sachi(548) About Me  (Show Source):
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If m varies directly to the square root of k,
or m=c sqrtk where c is the const of variation
so c=m/sqrtk=27/sqrt196=27/14 as k = 196 when m = 27.
find m when k = 4,900.
m=27/14*sqrt4900=(27/14)*70=135