Sigmackalanao Sigmackalanao
  • 03-12-2016
  • Mathematics
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Find y when x equals 10 if y equals eight what x equals 20

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faiqraees
faiqraees faiqraees
  • 03-12-2016
There can be 2 answers depending the proportionality between y and x
Assuming y is directly proportional to x
[tex]y=kx[/tex] where k is constant of proportionality 
[tex]8=20k[/tex]
[tex]k=\frac{8}{20}=\frac{2}{5}[/tex]
[tex]y=\frac{2}{5}x[/tex]
[tex]y=\frac{2}{5}*10[/tex]
[tex]y=4[/tex]

Assuming y is indirectly proportional to x
[tex]y=\frac{k}{x}[/tex] where k is constant of proportionality 
[tex]8=\frac{k}{20}[/tex]
[tex]k=160[/tex]
[tex]y=\frac{160}{x}[/tex]
[tex]y=\frac{160}{10}[/tex] 
[tex]y=16[/tex]  
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