Find the percentage increase in y

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SUMMARY

The discussion centers on calculating the percentage increase in y, which is directly proportional to x², when x is increased by 100%. The correct interpretation of a 100% increase in x means that x is doubled (2x), not added to 100. The formula y = kx² is used, and participants clarify that the final expression for y should be y = 4x² after applying the correct proportionality and increase. The confusion arises from misinterpreting the increase in x.

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topsyturvy
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y is directly proportional to x2.
x is increased by 100%.
Find the percentage increase in y.

so,
y=k x2

y= k (100 + x2)
then i went to find the k,
which is
k= y/ (100 + x2)

so i put back the k which i found into y= k (100 + x2)
which is :
y= y/(100 + x2) (100 + x2)

them I am stuck here..
somebody pls helppp!
thanks lotsa.:smile:
 
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it should be [tex]4x^{2}[/tex] not [tex]x^{2} + 100[/tex]
 
Last edited:
topsyturvy said:
y is directly proportional to x2.
x is increased by 100%.
...
y= k (100 + x2)
x is increased by 100% just means that x has been doubled (i.e: 2x), and not 100 + x. Do you see why?
Consider the original amount (say b) to be 100%, so when increasing the original amount (i.e increase b) by 100% means that you add one more b to your original b, and get 2b, right?
So, can you go from here? :)
-------------
@courtrigrad: No, it should be 4x2, not 2x2. :smile:
EDIT: He did edit the post. Cheers. :)
 
Last edited:

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