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Mathematics 10 Online
OpenStudy (anonymous):

Find the variation constant and an equation of variation where y varies directly as x and y =2 when x=1 The variation constant is k= The equation of variation is y=

OpenStudy (anonymous):

y=kx so when y=2 and x=1 k=2 so k=2 and y=2x

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Since y and x are proportional, we can write y/x=k i.e. y=kx

OpenStudy (anonymous):

k

OpenStudy (anonymous):

?????

OpenStudy (anonymous):

K is the proportionality constant

OpenStudy (anonymous):

or as you have said variation constant

OpenStudy (anonymous):

so what does k=?

OpenStudy (anonymous):

k=2

OpenStudy (anonymous):

y=?

OpenStudy (anonymous):

Substitute y=2 and x=1 in the equation y=kx which will give you k=2

OpenStudy (anonymous):

y=1

OpenStudy (anonymous):

So after the substitution of k=2 in the equation y=kx, it becomes y=2x

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