SOLUTION: if y varries as the square of x, how is y affected if (i) x is halved (ii) x decreased by 10% (iii) how is x affected if y is tripled

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Question 991432: if y varries as the square of x, how is y affected if
(i) x is halved
(ii) x decreased by 10%
(iii) how is x affected if y is tripled

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if y varies as the square of x, how is y affected if
(i) x is halved
y = k*x^2
y --> k*(x/2)^2 = kx^2/4
y is divided by 4
--------------------
(ii) x decreased by 10%
x --> 0.9x
Same as above
---------------------------
(iii) how is x affected if y is tripled
If x is the independent variable, the question is not allowed.
To restate it:
What change in x will produce a tripling of y?
--> 3y = kx^2
x^2 = 3y/k
x+=+sqrt%283%29%2Ay