Question

x is proportional to ​√y where y > 0
y is increased by 44%
Work out the percentage increase in x.

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Answer 1

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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Answer 2

Answer:

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 %

Learn More:

The variable X is inversely proportional to Y if x increases by P ...

brainly.in/question/8648255

if (a + b) is directly proportional to √ab then show that (√a + √b) is ...

https://brainly.in/question/15548986

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