SOLUTION: If b is inversely proportional to the square of c and b is 5/9 when c is 3, find b when c is 5. Show me what to do with answer :)

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Question 315792: If b is inversely proportional to the square of c and b is 5/9 when c is 3, find b when c is 5.
Show me what to do with answer :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If b is inversely proportional to the square of c
b = 1%2Fc%5E2
let k = constant of variation
b = k%2Fc%5E2
:
b is 5/9 when c is 3, find k
5%2F9 = k%2F3%5E2
5%2F9 = k%2F9
cross multiply
9k = 5*9
9k = 45
k = 45%2F9
k = 5
:
b = 5%2Fc%5E2 is the equation
:
find b when c is 5.
b = 5%2F5%5E2
b = 5/25
b = 1%2F5