Find the percentage increase in y

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When x is increased by 100%, it effectively doubles, leading to the equation y = k(2x)². This results in y being proportional to 4x², not 2x². The confusion arises from interpreting the percentage increase incorrectly; a 100% increase means adding the original value to itself. Thus, the correct approach is to substitute 2x into the original proportionality equation. The percentage increase in y, therefore, is 300%, as y increases from kx² to 4kx².
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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 4x^{2} not x^{2} + 100
 
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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? :)
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@courtrigrad: No, it should be 4x2, not 2x2. :smile:
EDIT: He did edit the post. Cheers. :)
 
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