SOLUTION: Write the equation that expresses the relationship between the variables, then use the given data to find the constant of variation. t varies directly as the cube of r and inv

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Question 257218: Write the equation that expresses the relationship between the variables, then use the given data to find the constant of variation.
t varies directly as the cube of r and inversely as the square root of s, and t = 10 when r = 5 and s = 0.09.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
step 1 - write an expression for this sentence:
t varies directly as the cube of r and inversely as the square root of s
We get
T+=+kr%5E3%2Fsqrt%28s%29
step 2 - find k using the given information as
10+=+k5%5E3%2Fsqrt%28.09%29
we get
10+=+125k%2F.3
and then
3+=+125k
finally,
k+=+3%2F125
step 3 - rewrite with your new k value to get
T+=+%283%2F125%29r%5E3%2Fsqrt%28s%29