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)   (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

step 2 - find k using the given information as

we get

and then

finally,

step 3 - rewrite with your new k value to get

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