Question 382336
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ k\sqrt{x}]


is the symbolic representation of "y varies directly as the square root of x."


Substitute given initial values:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 12\ =\ k\sqrt{16}]


Solve for *[tex \Large k].  In this case *[tex \Large k\ =\ 3] (verification of this value for *[tex \Large k] is left as an exercise for the student).


Substitute the value determined for the constant of proportionality, *[tex \Large k]:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 3\sqrt{x}]


From here on, given the value of either *[tex \Large x] or *[tex \Large y] you can substitute that value and then calculate the unknown value.  That is, in your case, you need to solve:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 24\ =\ 3\sqrt{x}]


for *[tex \Large x]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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