Math homework problem due tonight!

Sarah_Alyse

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Jan 19, 2010
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This is the question:
H is jointly proportional to the squares of L and W. If L=2 and W=1/3, then H=36. Find the constant of proportionality, k, and write the equation.

This is the work that I did.. not confident it is right..i dont know how to make the little two so im putting (squared)
H=KL(squared)W(squared)
36= (K) (2)squared (1/3)squared
4 times .1111
36= .444K
81=K
 
Correct.

It's simpler to stick with fractions...

H=kL2W2\displaystyle H=kL^2W^2

36=k(22)(13)2=4k9\displaystyle 36=k(2^2)(\frac{1}{3})^2=\frac{4k}{9}

k=36(9)4=92\displaystyle k=\frac{36(9)}{4}=9^2

H=(9LW)2\displaystyle H=(9LW)^2
 
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