SOLUTION: Suppose that y varies directly as the square root x, and that y=12 when x=16. Find x when y=24.
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Question 382336: Suppose that y varies directly as the square root x, and that y=12 when x=16. Find x when y=24.
How do I find this? Answer by solver91311(24713) (Show Source):
is the symbolic representation of "y varies directly as the square root of x."
Substitute given initial values:
Solve for . In this case (verification of this value for is left as an exercise for the student).
Substitute the value determined for the constant of proportionality, :
From here on, given the value of either or you can substitute that value and then calculate the unknown value. That is, in your case, you need to solve:
for
John
My calculator said it, I believe it, that settles it
