x is proportional to √y where y > 0
y is increased by 44%
Work out the percentage increase in x.
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Given : x is proportional to √y where y > 0
y is increased by 44%
To Find : the percentage increase in x.
Solution:
x is proportional to √y
=> x = k √y
Let say y = 100n²
=> x = k √100n²
=> x = 10kn
y = 100n²
y is increased by 44%
=> y = 100n² + (44/100)100n²
= 144n²
=> x = k √144n²
=> x = 12kn
x changed from 10kn to 12kn
Increased = 12kn - 10kn = 2kn
% increase = (2kn/10kn) * 100 = 20 %
percentage increase in x. = 20 %
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